Comcast Corporation is largest cable television company, the second largest Internet service provider, and fourth largest telephone service provider in United States. Basically known for quality and reliable service, the company periodically experiences unexpected service interruptions. On January 14, 2009, like interruption occurred for Comcast customers living in southwest Florida. When customers called Comcast office, a recorded message told them that company was aware of service outage and that it was anticipated that service would be restored in two hours. Suppose that two hours is the mean time to do the repair and that repair time has an exponential probability distribution.
a. Determine the probability that the cable service will be repaired in one hour or less?
b. Determine the probability that the repair will take between one hour and two hours?
c. For a customer who calls Comcast office at 1:oop, determine the probability that the cable service will not be repaired by 5PM?