Question: answer all 3 parts and show all work please! 5. (15 pts) Let X1, X2, ... , X10 are a random sample from an exponential

answer all 3 parts and show all work please! 5.answer all 3 parts and show all work please!

5. (15 pts) Let X1, X2, ... , X10 are a random sample from an exponential distribution with a mean of 0. Let Y = X1 + X2 +. + X 10. (a) (5 pts) Show that Y has a Gamma distribution, i.e. Y ~ Gamma(a = 10,0). 2 (b) (5 pts) What is the distribution of W = 28? (c) (5 pts) Find P(9.591

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