Q 2.8. Suppose that (X, Y) are bivariate random variables whose joint distribution is continuous with density f(x,y) (x, y) [xe-x(y+¹) if x,y>0, otherwise. = hồ By finding the conditional distribution of Y given X = x for x > 0, compute the conditional probability P(Y> 1 | X= 1).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q 2.8. Suppose that (X, Y) are bivariate random variables whose joint distribution is continuous
with density
f(x.x) (x, y)
S.
10
xe-x(y+1) if x, y> 0,
otherwise.
By finding the conditional distribution of Y given X = x for x > 0, compute the conditional
probability
P(Y> 1 | X = 1).
Transcribed Image Text:Q 2.8. Suppose that (X, Y) are bivariate random variables whose joint distribution is continuous with density f(x.x) (x, y) S. 10 xe-x(y+1) if x, y> 0, otherwise. By finding the conditional distribution of Y given X = x for x > 0, compute the conditional probability P(Y> 1 | X = 1).
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