The American Time Use Study is a survey of people in the United States regarding the amount of time they spend on various activities in a typical day. On a given day, 22% of American men participate in sports, exercise, or recreation. On days they participated in these activities, men participated on average 1.8 hours in sports, exercise, or recreation (Bureau of Labor Statistics website, December 2015). Suppose that the time spent on sports, exercise, and recreation for men on days of participation is distributed exponentially.
a. What is the probability that when a man participates in sports, exercise, or recreation, he does so for less than or equal to 1 hour?
b. What is the probability that when a man participates in sports, exercise, or recreation, he does so for more than 2 hours?