According to the U.S. Customs and Border Protection Agency, the average airport wait time at Chicago’s O’Hare International airport is 16 minutes for a traveler arriving during the hours 7–8 a.m., and 32 minutes for arrival during the hours 4–5 p.m. The wait time is defined as the total processing time from arrival at the airport until the completion of a passenger’s security screening. Assume the wait time is exponentially distributed.

a. What is the probability of waiting between 10 and 30 minutes for a traveler arriving during the 7–8 a.m. hour?

b. What is the probability of waiting more than 25 minutes for a traveler arriving during the 7–8 a.m. hour?

c. What is the probability of waiting between 35 and 50 minutes for a traveler arriving during the 4–5 p.m. hour?

d. What is the probability of waiting less than 20 minutes for a traveler arriving during the 4–5 p.m. hour?