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The distribution of a continuous Random Variable X is as follows. f(x) = (k) * (x^2) * e^(-x), where x>0. 1) Find the value of
The distribution of a continuous Random Variable X is as follows. f(x) = (k) * (x^2) * e^(-x), where x>0.
1) Find the value of k.
2) Compute MGF of X, E[X], Var[X]
3) We need the distribution of Y = e^(-X).
4) Derive its PDF, h(y)
5) Find E(Y) using f(x) and h(y)
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