Suppose that X is a random variable with densityand suppose that ?=e(-4X)Determine ?(?) 4. Suppose that the random variable X has density function0,fx(x) =x < 00 < x.4e-4",and suppose that Y = e-4X.Find E(Y), the expected value of Y.

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Answered: 4. Suppose that the random variable X…

4. Suppose that the random variable X has density function 0, fx(x) = x < 0 0 < x. 4e-4", and suppose that Y = e-4X. Find E(Y), the expected value of 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 28E

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Question

Suppose that X is a random variable with density

and suppose that ?=e^(-4X)

Determine ?(?)

4. Suppose that the random variable X has density function
0,
fx(x) =
x < 0
0 < x.
4e-4",
and suppose that Y = e-4X.
Find E(Y), the expected value of Y.

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