|The joint pdf of the random variables X and Y is x +1.5y?, f(x, y) = 0, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The joint pdf of the random variables X and Y is
{
x + 1.5y?,
0,
0 < x < 1, 0 <y <1,
f(x, y)
otherwise.
(a) Find the marginal pdf fx (x) of X and the probability P(X <0.5).
(b) Find E(X), E(Y), E(XY) and Cov (X,Y).
Transcribed Image Text:The joint pdf of the random variables X and Y is { x + 1.5y?, 0, 0 < x < 1, 0 <y <1, f(x, y) otherwise. (a) Find the marginal pdf fx (x) of X and the probability P(X <0.5). (b) Find E(X), E(Y), E(XY) and Cov (X,Y).
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