7. Suppose that X is a continuous random variable with pdf f(x) = {e-(x+²), if - 2 < x <∞ elsewhere a) Find the moment generating function of X. b) Use the MGF of (a) to find E(X) and E(X²).

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7. Suppose that X is a continuous random variable with pdf
Se-(x+2),
2), if-2 < x < 0
f(x)= =
lo,
elsewhere
a) Find the moment generating function of X.
b) Use the MGF of (a) to find E(X) and E(X²).
8.
Transcribed Image Text:7. Suppose that X is a continuous random variable with pdf Se-(x+2), 2), if-2 < x < 0 f(x)= = lo, elsewhere a) Find the moment generating function of X. b) Use the MGF of (a) to find E(X) and E(X²). 8.
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