Let X, Y have joint density fX,Y (x,y) = 9/32 xy for 0 x 1,

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Let X, Y have joint density
fX,Y (x,y) = 9/32 √xy
for 0 ≤ x ≤ 1, 0 ≤ y ≤ 4
and fX,Y (x,y) = 0 otherwise.
a. Are X and Y independent?
b. Find P(X < Y).
c. Find P(X < 2Y).
d. Find P(X < 4Y).
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Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

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