Let the joint probability density function of (X, Y) be fx,y (x,y)= Cx-¹(y-x)-1, 0 0,ß> 0. Show Transcribed Text (f) Find Pr(X+Y≤ }); (j) Find Pr(X> 3X).

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let the joint probability density function of (X, Y) be
fx,y (x, y) = Cx-¹(y-x)³-¹, 0<x<y<1, a>0,ß > 0.
Show Transcribed Text
(f) Find Pr(X + Y ≤ } });
(j) Find Pr(X> 31).
Transcribed Image Text:Let the joint probability density function of (X, Y) be fx,y (x, y) = Cx-¹(y-x)³-¹, 0<x<y<1, a>0,ß > 0. Show Transcribed Text (f) Find Pr(X + Y ≤ } }); (j) Find Pr(X> 31).
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