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 = 2.5.(a) what is the cdf of x? f(x) = 0 x < 3.51−e^−((x−3.5)2.5)2 x ≥ 3.5(b) what are the expected return time and variance of return time? [hint: first obtaine(x − 3.5)andv(x − 3.5).](round your answers to three decimal places.)e(x) = 10^−1 weeksv(x) = (10^−1 weeks)2(c) computep(x > your answer to four decimal places.)