In the Arnold's Muffler example for the exponentialdistribution in this chapter, the average rate of serv-ice was given as 3 per hour, and the times were ex-pressed in hours. Convert the average service rate tothe number per minute and convert the times to min-utes. Find the probabilities that the service times willbe less than 1/2 hour, 1/3 hour, and 2/3 hour. Com-pare these probabilities to the probabilities found in the example.