Question: Suppose the time it takes to load a truck at a loading dock is exponentially distributed. An average of 4 (l) trucks are loaded per hour.

A. What is the probability that it will take less than 6 minutes to load a truck?

B. What is the probability that it will take more than 18 minutes to load a truck?

C. What is the probability that it will take between 10 and 15 minutes to load the truck?

D. The loading dock has increased efficiency, loading an average of 5 trucks per hour. The manager claims that 75% of the trucks will be loaded in less than 15 minutes. If the loading time is exponentially distributed, is his claim valid?