Answered: Let the random variables X and Y have…

Let the random variables X and Y have the joint probability density function 3 fx,y(x, y) = 0 < x < 2, 0 < y < 2 – x. Find fx(x). Find P(2Y < X|X = 1).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let the random variables X and Y have the joint probability density function
3
fx,y(x, y) = xy,
0 < x < 2, 0 < y < 2 – x.
Find fx(x).
Find P(2Y < X|X = 1).

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