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If X ∼ N(µ, σ) then Y = e^X has a log(Y) that has a Normal...

If X ∼ N(µ, σ) then Y = e^X has a log(Y) that has a Normal distribution.

1. without calculating, explain if E(Y) is greater than, less than, or equal to e^u.

2. Calculate E(Y)

3. Find the pdf of Y and sketch a plot of it

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