Question

Let X have the normal distribution N(µ; σ2) and let Y = eX (a)Find the range...

Let X have the normal distribution N(µ; σ2) and let Y = eX

(a)Find the range of Y and the pdf g(y) of Y

(b)Find the third moment of Y E[Y3]

(c) In the next four subquestions, we assume that µ = 0 and σ = 1. Sketch the graph of the pdf of Y for 0<y<=5 (use Maple to generate the graph and copy it the best you can in the answer box)

(d)What is the mean of Y ? Keep 3 significant digits after the decimal point in your result

(e)What is the median of Y ? What can you conclude about P(Y ≤ 1)?

(f)What is P(Y > 2)? Keep 3 significant digits after the decimal point in your result

Math   Statistics-And-Probability   
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