6. Let f be a function (2, if 01). (c) Find P(X <0.5/Y >0.5).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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6. Let f be a function
(2, if 0<x<y<1
f(x) =,
l0 otherwise.
(a) Show that f is a joint probability density function.
(b) Find P(X+Y>1).
(c) Find P(X <0.5/Y > 0.5).
Transcribed Image Text:6. Let f be a function (2, if 0<x<y<1 f(x) =, l0 otherwise. (a) Show that f is a joint probability density function. (b) Find P(X+Y>1). (c) Find P(X <0.5/Y > 0.5).
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