(Solved): Let X = the time (in days) from shipment of a defective products until the customer returns the prod ...

Let X = the time (in days) from shipment of a defective products until the customer returns the product. Suppose that the mean rturn time is 12 days and the variance is 24 and the distribution is gamma.

a) what is the pdf of X?

b) What is the probability that the ruturn time will be at least 8 days?

c) What is the probability that the return time will be at most 6 days?