37. Americans Saving for Retirement. According to a 2018 survey by Bankrate.com, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that 15 adults in the United States are selected randomly.

a. Is the selection of the 15 adults a binomial experiment? Explain.

b. What is the probability that all of the selected adults save nothing for retirement?

c. What is the probability that exactly five of the selected adults save nothing for retirement?

d. What is the probability that at least one of the selected adults saves nothing for retirement?

e. What is the probability fewer than 3 people save nothing toward retirement.

47 a-c AND

911 Calls. Emergency 911 calls to a small municipality in Idaho come in at the rate of one every 2 minutes.

a. What is the expected number of 911 calls in one hour?

b. What is the probability of three 911 calls in five minutes?

c. What is the probability of no 911 calls in a five-minute period?

d. What is the probability more than 3 calls come in the next 5min.

57. Business Meal Reimbursement. The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving on a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner.

a. What is the probability that none of the meals will exceed the cost covered by your company?

b. What is the probability that the majority of meals will exceed the cost covered by the company?