Question: (a) Let X have a lognorrnal distribution such that X = eY, where Y is a standard normal random variable. Find out the distribution of

(a) Let X have a lognorrnal distribution such that X = eY, where Y is a standard normal random variable. Find out the distribution of Z = X13, Where 13 is a real number. (b) Calculate E(Z). (e) Calculate Var(Z)

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