Suppose in a practical situation, γ = min(X) >0 and X - γ has a Weibull distribution. Let X = the time (in 10-1 weeks) from shipment of a defective product until the customer returns the product. Suppose that the minimum return time is γ = 3.5 and that the excess X – 3.5 over the minimum has a Weibull distribution with parameters α = 2 and β = 1.5. a. What is the cumulative distribution function (cdf ) of X ? b. What are the expected return time and variance of return time?

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