Let X, Y be random variables, suppose X is N(0, 1) and Y = e2X. a) Obtain the density function of Y . b) Calculate E(Y) and V ar(Y).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 45E
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Let X, Y be random variables, suppose X is N(0, 1) and Y = e2X.


a) Obtain the density function of Y .
b) Calculate E(Y) and V ar(Y).

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