Suppose Y is a continuous random variable drawn from the uniform distribution on the interval [3, 4], that is, Y ∼ Uniform([3, 4]). Conditioned on Y = y, a second random variable X is drawn from the uniform distribution on the interval [0, y]. What is fX(x), the pdf of X?

Suppose Y is a continuous random variable drawn from the uniform distribution on the interval [3, 4], that is, Y ∼ Uniform([3, 4]). Conditioned on Y = y, a second random variable X is drawn from the uniform distribution on the interval [0, y]. What is fX(x), the pdf of X?

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.CR: Chapter 13 Review

Problem 44CR

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Question

Suppose Y is a continuous random variable drawn from the uniform distribution
on the interval [3, 4], that is, Y ∼ Uniform([3, 4]). Conditioned on Y = y, a second random
variable X is drawn from the uniform distribution on the interval [0, y]. What is fX(x), the
pdf of X?

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