5. Consider the joint PDF fx x(x,y) given in the following. Let W=X+Y. Sc(2x+y), 0< x < 2, 0< y < 2 to, %3D otherwise (a) Find the value of c in the joint PDF fxx(x,y). (b) Find the CDF of W. Cin

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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5. Consider the joint PDF fx (x,y) given in the following. Let W=X+Y.
fx.y(z,y) = 0,
Sc(2x+y), 0< I < 2, 0< y < 2
otherwise
(a) Find the value of c in the joint PDF fx.(x.y).
(b) Find the CDF of W.
(c) Find the PDF of W.
Transcribed Image Text:5. Consider the joint PDF fx (x,y) given in the following. Let W=X+Y. fx.y(z,y) = 0, Sc(2x+y), 0< I < 2, 0< y < 2 otherwise (a) Find the value of c in the joint PDF fx.(x.y). (b) Find the CDF of W. (c) Find the PDF of W.
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