Question: Solve the following problem 3. Let X be a Lognormal(/.L, 0'2) random variable with pdfgiven by: m l Max 92 0'2 , x>O;00 O. Here

Solve the following problem

3. Let X be a Lognormal(/.L, 0'2) random variable with pdfgiven by: m l Max 92 0'2 , x>O;00O. Here [1 and a are the two unknown parameters. a) Find E(X), i.e., mean of X. (10 points) Hint: Use the fact that Y = log(X) ~ N01, 02) and use the m.g.f. of Normal distribution as given in page 1

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