Let X and Y be two independent r.v.s with the following MGFs:Mx(t) = 1/1 − 4t for t < 1/4 , and mY (t) = 1/(1 − 4t)^3 for t <1/4(a)  Find the MGF of X + Y and simplify.(b)  Find E((X + Y )).(c)  Find Var(X + Y ).

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