Collina's Italian Café in Houston, Texas, advertises which carryout orders take regarding 25 minutes (Collina's website, February 27, 2008). Suppose that the time needed for a carryout order to be ready for customer pickup has an exponential distribution with a mean of 25 minutes.
What is the probability than a carryout order will be ready within 20 minutes? (to 4 decimals)
If a customer arrives 30 minutes after placing an order, what is the probability that the order will not be ready? (to 4 decimals)
A particular customer lives 15 minutes from Collina's Italian Café. If the customer places a telephone order at 5:20 P.M., what is the probability that the customer can drive to the café, pick up the order, and return home by 6:00 P.M.? (to 4 decimals)