7. The joint density function of the random variables X and Yis, {8 S 6x if 0 < x < 1,0 < y < 1 – x f(x, y) if elsewhere

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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7. The joint density function of the random
variables X and Yis,
S 6x if 0 < x < 1,0 < y < 1 – x
f(x, y) = {
if elsewhere
(a) Show that X and Yare not independent.
(b) Find P(X > 0.30|Y = 0.50)
Transcribed Image Text:7. The joint density function of the random variables X and Yis, S 6x if 0 < x < 1,0 < y < 1 – x f(x, y) = { if elsewhere (a) Show that X and Yare not independent. (b) Find P(X > 0.30|Y = 0.50)
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