SECTION 4.3 More Discrete Probability Distributions 221 17. Fossil Fuels Sixty percent of U.S. adults favor establishing policies to reduce the use of fossil fuels. You randomly select eight U.S. adults. Find the probability that the number who favor establishing policies to reduce the use of fossil fuels is (a) exactly four, (b) less than five, and (c) at least three. (Source: Gallup) 18. Living Donor Transplants The mean number of organ transplants from living donors performed per day in the United States in 2020 was about 16. Find the probability that the number of organ transplants from living donors performed on any given day is (a) exactly 12, (b) at least eight, and (c) no more than 10. (Source: Organ Procurement and Transplantation Network) 19. Hurricanes The mean number of hurricanes to strike the U.S. mainland per year from 1851 through 2020 was about 1.8. Find the probability that the number of hurricanes striking the U.S. mainland in any given year from 1851 through 2020 is (a) exactly one, (b) at most one, and (c) more than one. (Source: National Oceanic & Atmospheric Administration) 20. Reddit Eighteen percent of U.S. adults say they use Reddit. You randomly select seven U.S. adults. Find the probability that the number who use Reddit is (a) exactly one, (b) more than three, and (c) from two to four. (Source: Pew Research) 21. First Serve Points Won When Japanese tennis player Naomi Osaka makes her first serve and does not fault, she wins the point 76% of the time. You randomly select ten of Osaka’s non-fault first serves. Find the probability that the number of times she wins the point is (a) exactly 10, (b) more than seven, and (c) at most four. (Source: Women’s Tennis Association) 22. Winning a Prize A cereal maker places a game piece in each of its cereal boxes. The probability of winning a prize in the game is 1 in 4. Find the probability that you (a) win your first prize with your fourth purchase, (b) win your first prize with your first, second, or third purchase, and (c) do not win a prize with your first four purchases. 23. Precipitation In Akron, Ohio, the mean number of days in April with 0.01 inch or more of precipitation is 14. Find the probability that the number of days in April with 0.01 inch or more of precipitation in Akron is (a) exactly 17 days, (b) at most 17 days, and (c) more than 17 days. (Source: National Oceanic and Atmospheric Administration) 24. Paying for College Education Sixty-eight percent of parents of children ages 8–14 say they are willing to get a second or part-time job to pay for their children’s college eduction. You randomly select five parents. Find the probability that the number who say they are willing to get a second or part-time job to pay for their children’s college eduction is (a) exactly three, (b) less than four, and (c) at least three. (Source: T. Rowe Price Group, Inc.) 25. Glass Manufacturer A glass manufacturer finds that 1 in every 500 glass items produced is warped. Find the probability that (a) the first warped glass item is the tenth item produced, (b) the first warped glass item is the first, second, or third item produced, and (c) none of the first 10 glass items produced are defective. 26. Oil Tankers In the month of June 2021, 240 oil tankers stop at a port city. No oil tanker visits more than once. Find the probability that the number of oil tankers that stop on any given day in June is (a) exactly eight, (b) at most three, and (c) more than eight.
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