Let fX,Y(x,y) = (9/642) (x2)(y) for 0 < x < 2, 0 < y < 2, and

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Let
fX,Y(x,y) = (9/64√2) (x2)(√y)
for 0 < x < 2, 0 < y < 2,
and fX,Y (x,y) = 0 otherwise.
a. Are X and Y independent? Why?
b. Find P(X ≤ 1).
c. Find P(Y ≤ 1).
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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