Question: 53. Suppose that X has density function f (x) = e x, x>0 Compute the moment generating function of X and use your result to

53. Suppose that X has density function f (x) = e

−x, x>0 Compute the moment generating function of X and use your result to determine its mean and variance. Check your answer for the mean by a direct calculation.

54. If the density function of X is f (x) = 1, 0

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