Let X and Y have joint pdf given by f(x, y) = (k(1 − y) if (x, y) ∈ R 0 otherwise, where R is the region bounded by x = 0, y = x, and y = 1. (a) Find the value of k which makes this a pdf. (b) Find the marginal pdfs for X and Y . Are X and Y independent?
Let X and Y have joint pdf given by f(x, y) = (k(1 − y) if (x, y) ∈ R 0 otherwise, where R is the region bounded by x = 0, y = x, and y = 1. (a) Find the value of k which makes this a pdf. (b) Find the marginal pdfs for X and Y . Are X and Y independent?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Let X and Y have joint
(b) Find the marginal pdfs for X and Y . Are X and Y independent?
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