Probability that cable service will repair in less time


Assignment:

Comcast Corporation is the largest cable television company. the second largest Internet service provider, and the fourth largest telephone service provider in the United States.

Generally known for quality and reliable service, the company periodically experiences unexpected service interruptions. On January 14. 2009. such an interruption occurred for the Comcast customers living in southwest Florida. When customers called the Comcast off ice. a recorded message told them that the company was aware of the service outage and that it was anticipated that service would be restored in two hours. Assume that two hours is the mean time to do the repair and that the repair time has an exponential probability distribution.

a. What is the probability that the cable service will be repaired in one hour or less?

b. What is the probability that the repair will take between one hour and two hairs?

c. For a customer who calls the Comcast office at 1:00 P.M., what is the probability that the cable service will not be repaired by 5:00 p.m.?

Provide complete and step by step solution for the question and show calculations and use formulas.

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