Question: A random variable X has the exponential distribution Show that the moment-generating function of X is (b) Find the mean and variance of X. f(x)

A random variable X has the exponential distribution

f(x) = le, x>0

Show that the moment-generating function of X is

10-(1-) Mx(t) =

(b) Find the mean and variance of X.

f(x) = le, x>0 10-(1-) Mx(t) =

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