3. Suppose that X is a random variable with density function fx(x) and ImX = (1, 2), and suppose that Y = In(X). Which of the following equations describes the relationship between the density function fy (y) for Y and the density function fx(x): (a) fy(y) = e" fx(e®) for 0 < y < In 2. (b) fy(y) = fx(In y) · for 0 < y < In 2. (c) fy(y) = fx(e") for 0 < y < In 2. (d) fy(y) = fx(n y) for 0 < y < In 2.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Consider the following question and choose the correct answer

3. Suppose that X is a random variable with density function fx(x) and ImX = (1, 2),
and suppose that Y = In(X).
Which of the following equations describes the relationship between the density
function fy (y) for Y and the density function fx(x):
(a) fy(y) = e" fx(e®) for 0 < y < In 2.
(b) fy(y) = fx(ln y) · for 0 < y < In 2.
(c) fy(y) = fx(e") for 0 < y < In 2.
(d) fy(y) = fx(In y) for 0 < y < In 2.
Transcribed Image Text:3. Suppose that X is a random variable with density function fx(x) and ImX = (1, 2), and suppose that Y = In(X). Which of the following equations describes the relationship between the density function fy (y) for Y and the density function fx(x): (a) fy(y) = e" fx(e®) for 0 < y < In 2. (b) fy(y) = fx(ln y) · for 0 < y < In 2. (c) fy(y) = fx(e") for 0 < y < In 2. (d) fy(y) = fx(In y) for 0 < y < In 2.
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