Suppose X and Y have joint density fX,Y (x,y) = 18x2y5 for 0 < x < 1,

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Suppose X and Y have joint density
fX,Y (x,y) = 18x2y5
for 0 < x < 1, 0 < y < 1
and fX,Y (x,y) = 0 otherwise.
a. Are X and Y independent?
b. Find P(X < 1/2).
c. Find P(Y < 1/2).
d. Find P(X + Y < 1).

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Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

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Question Posted: Mar 14, 2016 06:37 AM

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Suppose X and Y have joint density fX,Y (x,y) = 18x2y5 for 0 < x < 1,

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Introduction to Probability

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