A popular Restaurant in Tampa, advertises that carryout orders take about 35 minutes. Assume that the time required for a carryout order to be ready for customer pickup has an exponential distribution with a mean of 35 minutes.
a) What is the probability than a carryout order will be ready within 30 minutes?
b) If a customer arrives 40 minutes after placing an order, what is the probability that the order will not be ready?
c) A particular customer lives 25 minutes from Collina's Italian Café. If the customer places a telephone order at 6:00 P.M., what is the probability that the customer can drive to the café, pick up the order, and return home by 7:00 P.M.?