a) Find the moment generating function of X. b) Use the MGF to find E(X) and Var(X).

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13. Assume that X is a continous random variable with pdf f(æ) = exp(-(x+ 2)) if –2 < x < ∞ and
zero otherwise.
(a) Find the moment generating function of X.
(b) Use the MGF to find E(X) and Var(X).
Transcribed Image Text:13. Assume that X is a continous random variable with pdf f(æ) = exp(-(x+ 2)) if –2 < x < ∞ and zero otherwise. (a) Find the moment generating function of X. (b) Use the MGF to find E(X) and Var(X).
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