5) Let (X, Y) be a random point chosen uniformly on the region R = {(x, y) : |x|+|y| ≤ 1,0 < x < 1}. (a) Find the marginal densities of X and Y. (b) Find the mean of X.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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5) Let (X, Y) be a random point chosen uniformly on the region R = {(x, y) : |x|+|y| ≤ 1,0 < x < 1}.
(a) Find the marginal densities of X and Y.
(b) Find the mean of X.
Transcribed Image Text:5) Let (X, Y) be a random point chosen uniformly on the region R = {(x, y) : |x|+|y| ≤ 1,0 < x < 1}. (a) Find the marginal densities of X and Y. (b) Find the mean of X.
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