X 1 , X 2 , . . . is a sequence of iid random variables each

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X1, X2, . . . is a sequence of iid random variables each with exponential PDF

de-Az >0, otherwise. fx (x) =


(a) Find Ï•X (s).

(b) Let K be a geometric random variable with PMF

X1, X2, . . . is a sequence of iid


Find the MGF and PDF of V = X1 + ˆ™ ˆ™ ˆ™ + XK.

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