6.88 Your Favourite Sport There is a difference in sports preferences between men and women, accord- ing to a recent survey. Among the 10 most popular sports, men include competition-type sports-pool and billiards, basketball, and softball-whereas women include aerobics, running, hiking, and calisthenics. However, the top recreational activity for men was still the relaxing sport of fishing, with 41% of those sur- veyed indicating that they had fished during the year. Suppose 180 randomly selected men are asked whether they had fished in the past year.

a. What is the probability that fewer than 50 had fished?

b. What is the probability that between 50 and 75 had fished?

c. If the 180 men selected for the interview were selected by the marketing department of a sporting- goods company based on information obtained from their mailing lists, what would you conclude about the reliability of their survey results?