6. Let X be a random variable having pdf :{ (a) (b) (d) fx(x) = A exp{-X(x-μ)} 0 Show that fx(x) is a legitimate pdf. Find the cdf of X. if x > μ, otherwise. Using the definition of E[X], find the mean of X. Find the mgf Mx (t) of X, and use it to find u.

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