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The joint density of X and Y is given by f(x, y) = = C(y – x)e , -y < x < y, 0 < y < ∞ (a) Find C. (b) Find the density function of X. (c) Find the density function of Y. (d) Find P(|X| < Y /2)

The joint density of X and Y is given by f(x, y) = = C(y – x)e , -y < x < y, 0 < y < ∞ (a) Find C. (b) Find the density function of X. (c) Find the density function of Y. (d) Find P(|X| < Y /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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The joint density of X and Y is given by f(x, y) = C(y –- x)e, -y < x < y, 0 < y < ∞ (a) Find C. (b) Find the density function of X. (c) Find the density function of Y . (d) Find P(|X] < Y /2)
Transcribed Image Text:The joint density of X and Y is given by f(x, y) = C(y –- x)e, -y < x < y, 0 < y < ∞ (a) Find C. (b) Find the density function of X. (c) Find the density function of Y . (d) Find P(|X] < Y /2)
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