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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.

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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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