8. Let the random variable X have the pdf 2 fx(x) = : еxp %3D - V2n Find the mean and the variance of X. Hint: Compute E (X) directly and E(X²) by comparing the integral with the integral representing the variance of a random variable that is N(0,1). nr0 04 (Y 5)? < 38.4). -

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8. Let the random variable X have the pdf
2
x2
fx (x) =
exp
%3D
-
V2n
2
Find the mean and the variance of X.
Hint: Compute E (X) directly and E (X²) by comparing the
integral with the integral representing the variance of a
random variable that is N(0,1).
i DCO 04 < (X - 5)2 < 38.4).
Transcribed Image Text:8. Let the random variable X have the pdf 2 x2 fx (x) = exp %3D - V2n 2 Find the mean and the variance of X. Hint: Compute E (X) directly and E (X²) by comparing the integral with the integral representing the variance of a random variable that is N(0,1). i DCO 04 < (X - 5)2 < 38.4).
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