1. No category

Midterm Exam
Create an Excel worksheet with a list of your answers from 1-100. Put your answer choice for each question in a second column
using a CAPITAL LETTER.
On a separate sheet or beginning in a third column, include any calculations used to solve the questions. This includes any
functions you use to assist you.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) Alex and Juana went on a 25-mile canoe trip with their class. On the first day they traveled 17 miles. What
percent of the total distance did they canoe?
A) 68%
B) 1%
C) 0.68%
D) 100%
2) On a test, if 115 questions are answered and 41% of them are correct, what is the number of correct answers?
A) 53
B) 74
C) -24
D) 47
Determine whether the given value is a statistic or a parameter.
3) A sample of 120 employees of a company is selected, and the average age is found to be 37 years.
A) Parameter
B) Statistic
4) After taking the first exam, 15 of the students dropped the class.
A) Parameter
B) Statistic
5) After inspecting all of 55,000 kg of meat stored at the Wurst Sausage Company, it was found that 45,000 kg of
the meat was spoiled.
A) Statistic
B) Parameter
6) A health and fitness club surveys 40 randomly selected members and found that the average weight of those
questioned is 157 lb.
A) Statistic
B) Parameter
Determine whether the given value is from a discrete or continuous data set.
7) The number of freshmen entering college in a certain year is 621.
A) Discrete
B) Continuous
8) The temperature of a cup of coffee is 67.3°F.
A) Continuous
B) Discrete
9) The weight of Bill's pack as he sets off on a backpacking trip is 48.3 lb.
A) Discrete
B) Continuous
10) The number of limbs on a 2-year-old oak tree is 21.
A) Discrete
B) Continuous
Determine whether the given description corresponds to an observational study or an experiment.
11) A marketing firm does a survey to find out how many people use a product. Of the one hundred people
contacted, fifteen said they use the product.
A) Experiment
B) Observational study
1
12) A clinic gives a drug to a group of ten patients and a placebo to another group of ten patients to find out if the
drug has an effect on the patients' illness.
A) Experiment
B) Observational study
13) A sample of fish is taken from a lake to measure the effect of pollution from a nearby factory on the fish.
A) Observational study
B) Experiment
14) A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided.
A) Observational study
B) Experiment
Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience.
15) The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are
picked from the bag.
A) Systematic
B) Random
C) Convenience
D) Cluster
E) Stratified
Provide an appropriate response.
16) An education expert is researching teaching methods and wishes to interview teachers from a particular school
district. She randomly selects ten schools from the district and interviews all of the teachers at the selected
schools. Does this sampling plan result in a random sample? Simple random sample? Explain.
A) No; yes. The sample is not random because teachers in small schools are more likely to be selected than
teachers in larger schools. It is a simple random sample because all samples have the same chance of being
selected.
B) Yes; yes. The sample is random because all teachers have the same chance of being selected. It is a simple
random sample because all samples have the same chance of being selected.
C) No; no. The sample is not random because teachers in small schools are more likely to be selected than
teachers in larger schools. It is not a simple random sample because some samples are not possible, such
as a sample that includes teachers from schools that were not selected.
D) Yes; no. The sample is random because all teachers have the same chance of being selected. It is not a
simple random sample because some samples are not possible, such as a sample that includes teachers
from schools that were not selected.
17) A psychology student wishes to investigate differences in political opinions between business majors and
political science majors at her college. She randomly selects 100 students from the 260 business majors and 100
students from the 180 political science majors. Does this sampling plan result in a random sample? Simple
random sample? Explain.
A) Yes; yes. The sample is random because all students have the same chance of being selected. It is a simple
random sample because all samples of size 200 have the same chance of being selected.
B) No; no. The sample is not random because political science majors have a greater chance of being selected
than business majors. It is not a simple random sample because some samples are not possible, such as a
sample consisting of 50 business majors and 150 political science majors.
C) No; yes. The sample is not random because political science majors have a greater chance of being selected
than business majors. It is a simple random sample because all samples of size 200 have the same chance
of being selected.
D) Yes; no. The sample is random because all students have the same chance of being selected. It is not a
simple random sample because some samples are not possible, such as a sample consisting of 50 business
majors and 150 political science majors.
2
18) A computer company employs 100 software engineers and 100 hardware engineers. The personnel manager
randomly selects 20 of the software engineers and 20 of the hardware engineers and questions them about
career opportunities within the company. Does this sampling plan result in a random sample? Simple random
sample? Explain.
A) No; no. The sample is not random because not all employees have the same chance of being selected. It is
not a simple random sample because some samples are not possible, such as a sample consisting of 30
software engineers and 10 hardware engineers.
B) Yes; no. The sample is random because all employees have the same chance of being selected. It is not a
simple random sample because some samples are not possible, such as a sample consisting of 30 software
engineers and 10 hardware engineers.
C) No; yes. The sample is not random because not all employees have the same chance of being selected. It is
a simple random sample because all samples of size 40 have the same chance of being selected.
D) Yes; yes. The sample is random because all employees have the same chance of being selected. It is a
simple random sample because all samples of size 40 have the same chance of being selected.
19) The personnel manager at a company wants to investigate job satisfaction among the female employees. One
evening after a meeting she talks to all 30 female employees who attended the meeting. Does this sampling plan
result in a random sample? Simple random sample? Explain.
A) Yes; no. The sample is random because all female employees have the same chance of being selected. It is
not a simple random sample because some samples are not possible, such as a sample containing female
employees who did not attend the meeting.
B) No; no. The sample is not random because not all female employees have the same chance of being
selected. Those that didn't attend the meeting have no chance of being selected. It is not a simple random
sample because some samples are not possible, such as a sample containing female employees who did
not attend the meeting.
C) Yes; yes. The sample is random because all female employees have the same chance of being selected. It is
a simple random sample because all samples of size 30 have the same chance of being selected.
D) No; yes. The sample is not random because not all female employees have the same chance of being
selected. Those that didn't attend the meeting have no chance of being selected. It is a simple random
sample because all samples of 30 female employees have the same chance of being selected.
20) A polling company obtains an alphabetical list of names of voters in a precinct. They select every 20th person
from the list until a sample of 100 is obtained. They then call these 100 people. Does this sampling plan result in
a random sample? Simple random sample? Explain.
A) No; yes. The sample is not random because not all voters have the same chance of being selected. The
second person on the list has no chance of being selected. It is a simple random sample because all
samples of 100 voters have the same chance of being selected.
B) Yes; yes. The sample is random because all voters have the same chance of being selected. It is a simple
random sample because all samples of 100 voters have the same chance of being selected.
C) Yes; no. The sample is random because all voters have the same chance of being selected. It is not a simple
random sample because some samples are not possible, such as a sample containing the second person on
the list.
D) No; no. The sample is not random because not all voters have the same chance of being selected. The
second person on the list has no chance of being selected. It is not a simple random sample because some
samples are not possible, such as a sample containing the second person on the list.
3
21) A researcher obtains an alphabetical list of the 2560 students at a college. She uses a random number generator
to obtain 50 numbers between 1 and 2560. She chooses the 50 students corresponding to those numbers. Does
this sampling plan result in a random sample? Simple random sample? Explain.
A) No; no. The sample is not random because not all students have the same chance of being selected. It is not
a simple random sample because some samples are not possible, such as a sample containing the the first
50 students on the list.
B) Yes; yes. The sample is random because all students have the same chance of being selected. It is a simple
random sample because all samples of 50 students have the same chance of being selected.
C) No; yes. The sample is not random because not all students have the same chance of being selected. It is a
simple random sample because all samples of 50 students have the same chance of being selected.
D) Yes; no. The sample is random because all students have the same chance of being selected. It is not a
simple random sample because some samples are not possible, such as a sample containing the first 50
students on the list.
22) An electronics store receives a shipment of eight boxes of calculators. Each box contains ten calculators. A
quality control inspector chooses a box by putting eight identical slips of paper numbered 1 to 8 into a hat,
mixing thoroughly and then picking a slip at random. He then chooses a calculator at random from the box
selected using a similar method with ten slips of paper in a hat. He repeats the process until he obtains a
sample of 5 calculators for quality control testing. Does this sampling plan result in a random sample? Simple
random sample? Explain.
A) No; yes. The sample is not random because not all calculators have the same chance of being selected. It is
a simple random sample because all samples of 5 calculators have the same chance of being selected.
B) No; no. The sample is not random because not all calculators have the same chance of being selected. It is
not a simple random sample because some samples are not possible, such as a sample containing 5
calculators from the same box.
C) Yes; no. The sample is random because all calculators have the same chance of being selected. It is not a
simple random sample because some samples are not possible, such as a sample containing 5 calculators
from the same box.
D) Yes; yes. The sample is random because all calculators have the same chance of being selected. It is a
simple random sample because all samples of 5 calculators have the same chance of being selected.
Identify the type of observational study (cross-sectional, retrospective, prospective).
23) A statistical analyst obtains data about ankle injuries by examining a hospital's records from the past 3 years.
A) Prospective
B) Cross-sectional
C) Retrospective
D) None of these
24) Researchers collect data by interviewing athletes who have won olympic gold medals from 1992 to 2008.
A) Cross-sectional
B) Retrospective
C) Prospective
D) None of these
25) A researcher plans to obtain data by following those in cancer remission since January of 2005.
A) Retrospective
B) Prospective
C) Cross-sectional
D) None of these
26) A town obtains current employment data by polling 10,000 of its citizens this month.
A) Retrospective
B) Prospective
C) Cross-sectional
4
D) None of these
Provide an appropriate response.
27) The following frequency distribution analyzes the scores on a math test. Find the class boundaries of scores
interval 40-59.
Scores
40-59
60-75
76-82
83-94
95-99
Number of students
2
4
6
15
5
A) 39.5, 58.5
B) 40.5, 59.5
C) 40.5, 58.5
D) 39.5, 59.5
28) The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores
interval 40-59.
Scores
40-59
60-75
76-82
83-94
95-99
Number of students
2
4
6
15
5
A) 50.5
B) 48.5
C) 49.0
D) 49.5
29) The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of
June. Find the class boundaries for class 80.0-110.9.
(Sale price in thousand $) Frequency
80.0 - 110.9
2
111.0 - 141.9
5
142.0 - 172.9
7
173.0 - 203.9
10
204.0 - 234.9
3
235.0 - 265.9
1
A) 79.90, 110.95
B) 80.00, 110.95
C) 79.95, 110.95
5
D) 79.90, 111.0
Construct the cumulative frequency distribution that corresponds to the given frequency distribution.
30)
Number
Weight (oz) of Stones
1.2-1.6
5
1.7-2.1
2
2.2-2.6
5
2.7-3.1
5
3.2-3.6
13
A)
C)
B)
Cumulative
Weight (oz) Frequency
1.2-1.6
5
1.7-2.1
7
2.2-2.6
12
2.7-3.1
17
3.2-3.6
30
Weight (oz)
Less than 2.2
Less than 3.2
Less than 3.7
D)
Cumulative
Frequency
7
17
30
6
Weight (oz)
Less than 1.7
Less than 2.2
Less than 2.7
Less than 3.2
Less than 3.7
Cumulative
Frequency
5
7
12
17
28
Weight (oz)
Less than 1.7
Less than 2.2
Less than 2.7
Less than 3.2
Less than 3.7
Cumulative
Frequency
5
7
12
17
30
Provide an appropriate response.
31) The frequency distribution for the weekly incomes of students with part-time jobs is given below.
Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest
hundredth of a percent if necessary.
A)
C)
Income ($) Frequency
200-300
55
301-400
70
401-500
73
501-600
68
More than 600
10
Income ($)
201-300
301-400
401-500
501-600
More than600
Relative
Frequency
15.5%
22.1%
31.3%
16.2%
14.9%
Income ($)
200-300
301-400
401-500
501-600
More than 600
Relative
Frequency
12.5%
20.1%
37.3%
15.2%
14.9%
B)
D)
7
Relative
Income ($) Frequency
200-300
25.98%
301-400
24.91%
401-500
3.65%
501-600
19.64%
More than 600
26.07%
Relative
Income ($) Frequency
200-300
19.93%
301-400
25.36%
401-500
26.45%
501-600
24.64%
More than 600
3.62%
32) The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding
relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary.
Scores Frequency
0-60
3
61-70
10
71-80
11
81-90
4
91-100
1
A)
C)
B)
Relative
Scores Frequency
0-60
0.21%
61-70
0.24%
71-80
0.55%
81-90
0.03%
91-100 -0.03%
D)
Relative
Scores Frequency
0-60
12.5%
61-70
20.1%
71-80
37.3%
81-90
15.2%
91-100
14.9%
Relative
Scores Frequency
0-60
10.34%
61-70
34.48%
71-80
37.93%
81-90
13.79%
91-100
3.45%
Relative
Scores Frequency
0-60
15.5%
61-70
22.1%
71-80
31.3%
81-90
16.2%
91-100
14.9%
33) Sturges' guideline suggests that when constructing a frequency distribution, the ideal number of classes can be
approximated by 1 + (log n)/(log 2), where n is the number of data values. Use this guideline to find the ideal
number of classes when the number of data values is 148.
A) 7
B) 10
C) 8
D) 9
8
34) A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency
histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure
readings were given to the nearest whole number. Approximately what percentage of the people aged 25-40
had a systolic blood pressure reading between 110 and 119 inclusive?
A) 3.5%
B) 0.35%
C) 35%
D) 30%
35) A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency
histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure
readings were given to the nearest whole number. Approximately what percentage of the people aged 25-40
had a systolic blood pressure reading between 110 and 139 inclusive?
A) 59%
B) 39%
C) 89%
9
D) 75%
36) A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency
histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure
readings were given to the nearest whole number. What class width was used to construct the relative
frequency distribution?
A) 100
B) 10
C) 11
D) 9
37) The histogram below represents the number of television sets per household for a sample of U.S. households.
How many households are included in the histogram?
A) 90
B) 95
C) 100
10
D) 110
38) The histogram below represents the number of television sets per household for a sample of U.S. households.
What is the minimum number of households having the same number of television sets?
A) 100
B) 20
C) 5
D) 1
Construct the dotplot for the given data.
39) A store manager counts the number of customers who make a purchase in his store each day. The data are as
follows.
10 11 8 14 7 10 10 11 8 7
A)
5
10
5
15
10
B)
15
C)
5
10
15
5
10
15
D)
5
10
15
11
Use the data to create a stemplot.
40) The attendance counts for this season's basketball games are listed below.
227 239 215 219
221 233 229 233
235 228 245 231
A)
B)
21 5 9
21 5 7 9
22 1 7 8 9
22 1 8 9
23 1 3 3 5 9
23 1 3 3 5 9
24 5
24 5
Solve the problem.
41) A car dealer is deciding what kinds of vehicles he should order from the factory. He looks at his sales report for
the preceding period. Choose the vertical scale so that the relative frequencies are represented.
Vehicle Sales
Economy
20
Sports
5
Family
35
Luxury
10
Truck
30
Construct a Pareto chart to help him decide.
A)
B)
12
C)
D)
Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than
is present in the original data values.
42) Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the
restaurant. Find the mean.
1 5 6 8 11 14 17 46 61 90 99 126 143 167
A) 56.7 months
B) 52.9 months
C) 31.5 months
D) 61.1 months
Find the median for the given sample data.
43) The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The
results are shown below. Find the median number of vehicles going through the line in a fifteen-minute period.
25 27 25 28
28 25 30 27
35 31 31 29
24 31 25 20
15 27 27 27
A) 28 vehicles
B) 31 vehicles
C) 26.85 vehicles
D) 27 vehicles
Find the mode(s) for the given sample data.
44) The weights (in ounces) of 14 different apples are shown below.
5.0 6.5 6.0 6.2 6.6 5.0 6.5
4.5 5.8 6.2 5.0 4.5 6.2 6.3
A) no mode
B) 5.0 oz, 6.2 oz
C) 5.0 oz
D) 6.2 oz
Find the midrange for the given sample data.
45) Bill kept track of the number of hours he spent exercising each week. The results for 15 weeks are shown below.
Find the midrange.
7.1 6.8 7.1 7.2 7.8
7.9 6.5 8.4 8.5 7.2
8.5 6.8 7.9 9.0 7.8
A) 7.50 hr
B) 7.75 hr
C) 2.5 hr
D) 7.8 hr
13
Find the mean of the data summarized in the given frequency distribution.
46) A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the
mean salary.
Salary ($) Employees
5,001-10,000
17
10,001-15,000
12
15,001-20,000
12
20,001-25,000
15
25,001-30,000
24
A) $16,706.25
B) $17,500
C) $20,418.75
D) $18,562.50
47) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business
hours one Monday. The frequency distribution below summarizes the results. Find the mean waiting time.
Round your answer to one decimal place.
Waiting time Number of
(minutes)
customers
0-3
10
4-7
13
8 - 11
12
12 - 15
5
16 - 19
7
20 - 23
1
24 - 27
2
A) 13.5 min
B) 7.1 min
C) 9.3 min
D) 9.4 min
Find the range for the given sample data.
48) Fred, a local mechanic, recorded the price of an oil and filter change at twelve competing service stations. The
prices (in dollars) are shown below.
32.99 24.95 26.95 28.95
18.95 28.99 30.95 22.95
24.95 26.95 29.95 28.95
A) $32.99
B) $12.00
C) $14.04
D) $10.05
Find the variance for the given data. Round your answer to one more decimal place than the original data.
49) The owner of a small manufacturing plant employs six people. As part of their personnel file, she asked each
one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six
distances are listed below:
26 32 29 16 45 19
A) 5043.6 mi2
B) 107.0 mi2
C) 18.9 mi2
D) 15.8 mi2
Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in
the original data.
50) Listed below are the amounts of weight change (in pounds) for 12 women during their first year of work after
graduating from college. Positive values correspond to women who gained weight and negative values
correspond to women who lost weight.
15 -5 14 8 -1 10 -6 1 0 4 -3 9
A) 7.2 lb
B) 6.9 lb
C) 7.6 lb
D) 7.4 lb
14
Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal
place.
51) Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for a sample of
men aged 60-69.
Men aged 20-29: 117 122 129 118 131 123
Men aged 60-69: 130 153 141 125 164 139
A) Men aged 20-29: 4.6%
Men aged 60-69: 10.2 %
There is substantially more variation in blood pressures of the men aged 60-69.
B) Men aged 20-29: 4.4%
Men aged 60-69: 8.3%
There is substantially more variation in blood pressures of the men aged 60-69.
C) Men aged 20-29: 7.6%
Men aged 60-69: 4.7%
There is more variation in blood pressures of the men aged 20-29.
D) Men aged 20-29: 4.8%
Men aged 60-69: 10.6%
There is substantially more variation in blood pressures of the men aged 60-69.
Find the standard deviation of the data summarized in the given frequency distribution.
52) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business
hours one Monday. The frequency distribution below summarizes the results. Find the standard deviation.
Round your answer to one decimal place.
Waiting time Number of
(minutes) customer
0-3
13
4-7
13
8-11
10
12-15
11
16-19
0
20-23
3
A) 7.0 min
B) 5.6 min
C) 5.3 min
D) 5.9 min
Use the empirical rule to solve the problem.
53) The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a
standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure
between 96 mmHg and 144 mmHg?
A) 95%
B) 99.7%
C) 68%
D) 99.99%
Solve the problem.
54) The ages of the members of a gym have a mean of 44 years and a standard deviation of 12 years. What can you
conclude from Chebyshev's theorem about the percentage of gym members aged between 26 and 62?
A) The percentage is at most 55.6%
B) The percentage is at least 33.3%
C) The percentage is approximately 33.3%
D) The percentage is at least 55.6%
Solve the problem. Round results to the nearest hundredth.
55) Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle's
score to a z-score.
A) 1
B) -9
C) 9
D) -1
15
56) The mean of a set of data is 4.11 and its standard deviation is 3.03. Find the z score for a value of 10.86.
A) 2.45
B) 2.23
C) 2.53
D) 2.01
57) The mean of a set of data is -2.91 and its standard deviation is 3.88. Find the z score for a value of 2.80.
A) 1.47
B) 1.62
C) 1.77
D) 1.32
Find the number of standard deviations from the mean. Round your answer to two decimal places.
58) The test scores on the Chapter 10 mathematics test have a mean of 52 and a standard deviation of 10. Andrea
scored 86 on the test. How many standard deviations from the mean is that?
A) 0.49 standard deviations above the mean
B) 3.40 standard deviations below the mean
C) 0.49 standard deviations below the mean
D) 3.40 standard deviations above the mean
Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual.
Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth
if necessary.
59) A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11.
A) -1.6; unusual
B) 1.6; not unusual
C) -1.6; not unusual
D) -17.6; unusual
Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
60) The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Construct a boxplot
for the data set.
0.4 1.0 1.5 1.6 2.0
2.2 2.4 2.7 3.4 3.4
3.5 3.6 3.6 3.7 3.7
3.9 4.1 4.2 4.2 7.0
A)
B)
C)
D)
Express the indicated degree of likelihood as a probability value.
61) "It will definitely turn dark tonight."
A) 1
B) 0.5
C) 0.30
D) 0.67
Answer the question.
62) What is the probability of an event that is certain to occur?
A) 1
B) 0.95
C) 0.99
D) 0.5
C) 1
D) 0.1
63) What is the probability of an impossible event?
A) 0
B) -1
16
Find the indicated probability.
64) A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the
bag, what is the probability that it is blue?
3
1
1
1
A)
B)
C)
D)
14
3
7
11
65) A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the
bag, what is the probability that it is blue?
3
1
1
1
A)
B)
C)
D)
10
3
5
7
66) A bag contains 6 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the
bag, what is the probability that it is blue?
3
1
1
1
A)
B)
C)
D)
14
3
5
11
67) Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 4?
1
2
11
A)
B)
C)
D) 3
12
3
12
68) Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 5?
1
5
8
A)
B)
C)
D) 4
9
6
9
69) Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 3?
1
1
17
A)
B)
C)
D) 2
18
2
18
Estimate the probability of the event.
70) Of 1232 people who came into a blood bank to give blood, 397 people had high blood pressure. Estimate the
probability that the next person who comes in to give blood will have high blood pressure.
A) 0.322
B) 0.373
C) 0.29
D) 0.241
Answer the question, considering an event to be "unusual" if its probability is less than or equal to 0.05.
71) Is it "unusual" to get a 12 when a pair of dice is rolled?
A) Yes
B) No
72) Is it "unusual" to get 11 when a pair of dice is rolled?
A) Yes
B) No
From the information provided, create the sample space of possible outcomes.
73) Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a
piece and eats it. What are the possible pairs of candies eaten?
A) LD-LD CD-LD LP-LP LD-CD CD-CD LD-LP LP-CD CD-LP LP-LD
B) LD-CD LD-CD LD-CD LD-LP LD-LP LD-LP CD-LP CD-LP CD-LP
C) CD-LD LD-LP LP-CD LP-LP LD-LD
D) LD-LD CD-LD LP-LP LD-LP CD-CD LD-LP LP-CD CD-LD LP-LD
17
Answer the question.
74) In a certain town, 10% of people commute to work by bicycle. If a person is selected randomly from the town,
what are the odds against selecting someone who commutes by bicycle?
A) 9 : 1
B) 1 : 9
C) 9 : 10
D) 1 : 10
75) If an apple is hanging from a string and three flies land on it, find the probability that all three are on points that
are within the same hemisphere.
A) 0.25
B) 4
C) 0.125
D) 0.333
Determine whether the events are disjoint.
76) Go to a formal dinner affair.
Wear blue jeans.
A) Yes
B) No
Find the indicated complement.
77) The probability that Luis will pass his statistics test is 0.49. Find the probability that he will fail his statistics test.
A) 0.51
B) 0.96
C) 0.25
D) 2.04
78) If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.
334
31
31
11
A)
B)
C)
D)
365
365
334
12
Find the indicated probability.
79) The table below describes the smoking habits of a group of asthma sufferers.
Occasional Regular Heavy
Nonsmoker
smoker
smoker smoker Total
Men
431
50
71
49
601
Women
382
48
86
39
555
Total
813
98
157
88
1156
If one of the 1156 people is randomly selected, find the probability that the person is a man or a heavy smoker.
A) 0.554
B) 0.596
C) 0.511
D) 0.557
80) Of the 64 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the
question, 8 were male. If one person is selected at random from the group, what is the probability that the
person answered "yes" or was male?
A) 0.537
B) 0.582
C) 0.094
D) 0.104
18
81) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business
hours one Monday. The frequency table below summarizes the results.
Waiting Time Number of
(minutes) Customers
0-3
9
4-7
10
8-11
12
12-15
4
16-19
4
20-23
2
24-27
2
If we randomly select one of the customers represented in the table, what is the probability that the waiting time
is at least 12 minutes or between 8 and 15 minutes?
A) 0.558
B) 0.651
C) 0.093
D) 0.727
82) A 6-sided die is rolled. Find P(3 or 5).
1
1
A)
B)
3
36
C)
1
6
D) 2
83) The table below describes the smoking habits of a group of asthma sufferers.
Occasional Regular Heavy
Nonsmoker
smoker
smoker smoker Total
Men
334
50
68
32
484
Women
357
30
89
37
513
Total
691
80
157
69
997
If one of the 997 people is randomly selected, find the probability of getting a regular or heavy smoker.
A) 0.227
B) 0.100
C) 0.442
D) 0.157
Is Event B dependent or independent of Event A?
84) A: You cook your chicken improperly.
B: You get salmonella poisoning.
A) Dependent
B) Independent
Find the indicated probability.
85) In one town, 66% of adults have health insurance. What is the probability that 4 adults selected at random from
the town all have health insurance? Round to the nearest thousandth if necessary.
A) 0.19
B) 2.64
C) 0.061
D) 0.66
86) A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field
within a year after graduation. Find the probability that 11 randomly selected graduates all find jobs in their
chosen field within a year of graduating. Round to the nearest thousandth if necessary.
A) 0.009
B) 7.150
C) 0.169
D) 0.013
19
87) The table below describes the smoking habits of a group of asthma sufferers.
Light Heavy
Nonsmoker smoker smoker Total
Men
425
38
35
498
Women
381
32
43
456
Total
806
70
78
954
If two different people are randomly selected from the 954 subjects, find the probability that they are both
women. Round to four decimal places.
A) 0.2282
B) 0.2285
C) 0.000004809
D) 0.1595
Find the indicated probability. Round to the nearest thousandth.
88) A sample of 4 different calculators is randomly selected from a group containing 18 that are defective and 40
that have no defects. What is the probability that at least one of the calculators is defective?
A) 0.785
B) 0.774
C) 0.215
D) 0.180
Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
89) The following table contains data from a study of two airlines which fly to Small Town, USA.
Number of flights Number of flights
which were on time
which were late
Podunk Airlines
33
6
Upstate Airlines
43
5
If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time.
76
43
A)
B)
87
87
C)
11
76
D) None of the above is correct.
90) The following table contains data from a study of two airlines which fly to Small Town, USA.
Number of flights Number of flights
which were on time
which were late
Podunk Airlines
33
6
Upstate Airlines
43
5
If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given
that it was an Upstate Airlines flight.
43
43
A)
B)
48
87
C)
11
76
D) None of the above is correct.
20
91) The table below describes the smoking habits of a group of asthma sufferers.
Light Heavy
Nonsmoker smoker smoker Total
Men
391
61
65
517
Women
312
72
80
464
Total
703
133
145
981
If one of the 981 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given
that it is a woman. Round to the nearest thousandth.
A) 0.672
B) 0.318
C) 0.444
D) 0.373
92) The table below describes the smoking habits of a group of asthma sufferers.
Light Heavy
Nonsmoker smoker smoker Total
Men
320
81
70
471
Women
374
76
87
537
Total
694
157
157 1008
If one of the 1008 subjects is randomly selected, find the probability that the person chosen is a woman given
that the person is a light smoker. Round to the nearest thousandth.
A) 0.484
B) 0.075
C) 0.142
D) 0.256
Evaluate the expression.
9!
93)
7!
A) 72
9
7
B) 2!
C)
94) 10P5
A) 30,240
B) 252
C) 2
D) 5
95) 7 C3
A) 35
B) 70
C) 2
D) 24
96) 9 C3
A) 84
B) 168
C) 3
D) 720
Solve the problem.
97) How many ways can an IRS auditor select 3 of 9 tax returns for an audit?
A) 84
B) 504
C) 6
D) 63,000
D) 729
98) The organizer of a television show must select 5 people to participate in the show. The participants will be
selected from a list of 30 people who have written in to the show. If the participants are selected randomly, what
is the probability that the 5 youngest people will be selected?
1
1
1
4
A)
B)
C)
D)
142,506
17,100,720
120
15
21
99) A tourist in France wants to visit 6 different cities. How many different routes are possible?
A) 720
B) 6
C) 120
D) 36
100) A tourist in France wants to visit 8 different cities. If the route is randomly selected, what is the probability that
she will visit the cities in alphabetical order?
1
1
1
A)
B)
C) 40,320
D)
40,320
8
64
22