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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