Question: Regarding mathematical statistics, solve ( a ) and ( b ) Assume that X 1 , X 2 , X 3 Exp ( lambda

Regarding mathematical statistics, solve (a) and (b)
Assume that X1, X2, X3 Exp(\lambda ) are independent and equally distributed with distribution Exp(\lambda =1).
(a) Determine the distribution of Y=X1+ X2+ X3 and state its PDF f (y).
(b) Determine the distribution of U =2Y

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