Using a Distribution to Find Probabilities In Exercises 11–26, find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities.

11. Telephone Sales The probability that you will make a sale on any given telephone call is 0.19. Find the probability that you (a) make your first sale on the first call, (b) make your first sale on the second call, and (c) make your first sale on the fifth call.

12. Immigration The mean number of people who immigrated to the United States per hour was about 5.5 in April 2021. Find the probability that the number of people who immigrate to the U.S. in a given hour in April 2021 was (a) zero, (b) exactly five, and (c) exactly eight. (Source: U.S. Census Bureau)

13. Typographical Errors A newspaper finds that the mean number of typographical errors per page is four. Find the probability that the number of typographical errors found on any given page is (a) exactly three, (b) at most three, and (c) more than three.

14. Defective Parts An auto parts seller finds that 1 in every 100 parts sold is defective. Find the probability that (a) the first defective part is the tenth part sold, (b) the first defective part is the first, second, or third part sold, and (c) none of the first 10 parts sold are defective.

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 education. 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 education is (a) exactly three, (b) less than four, and (c) at least three. (Source: T. Rowe Price Group, Inc.)

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.