1. 2. 3. Simplify: 9! 4. Evaluate: 8P4 6. Experimental Probability of rolling a 1 Experimental Probability of rolling a 2 Experimental Probability of rolling a 3 Experimental Probability of rolling a 4 Experimental Probability of rolling a 5 Experimental Probability of rolling a 6 5. Evaluate: 6C3 7. A marble is selected at random from a jar containing 10 red marbles, 70 yellow marbles, and 20 green marbles. Find the theoretical probability that it is either red or green. 8. In a class of 148 students, 94 are taking math (M), 77 are taking science (S), and 52 are taking both math and science. One student is picked at random. Find the probability that the student is taking math or science or both. 9. A pet store has 10 puppies, including 5 poodles, 2 terriers, and 3 retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with a puppy of the same breed, and then Aaron chooses a puppy at random. Find the probability that they both select a poodle. 10. A single die is rolled. Find the probability of rolling an even number or a number less than 4. 11. A jar contains seven blue marbles and four red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble. Find the probability of the following: Both of the selected marbles are red 12. Find the probability that a randomly selected person from this group is moderate, given they have only a high school education. 13. Use the survey results to find the probability that a respondent has a pet, given that respondent has had a pet. 37% have a pet now and have had a pet 63% do not have a pet now 87% have had a pet 13% do not have pet now and have never had a pet 14. Find the mean, median, and mode of the set of values. MEAN: _______________________ MEDIAN: _____________________ MODE: _______________________ 15. Find the mean, variance, and standard deviation for the data set. 5, 14, 7, 2, 10, 8, 13, 6, 19, 6 MEAN: _____________________ VARIANCE: __________________ STD. DEV.:___________________ 16. Determine the whole number of standard deviations that includes all data values. The mean price of the nonfiction books on a best-sellers list is $21.98; the standard deviation is $3.74. $20.95, $18.95, $28.00, $20.00, $18.95, $22.00, $29.95, $18.00, $21.95, $21.00 How many standard deviations are needed to include all of the values? 17. Use the Binomial Theorem to expand the expression: (𝑥 + 4)3 18. The probability that a person suffers from a particular ailment is 0.24. If four people are randomly selected, what is the probability that two of them will suffer the ailment? 19. When treated with an antibiotic, 95% of all the dolphins are cured of an ear infection. If 8 dolphins are treated, find the probability that exactly 4 are cured. 20. A fruit company guarantees that 94% of the pineapples it ships will ripen within four days of delivery. Find the probability that at least 10 pineapples in a case of 12 are ripe within four days.
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