Assume that X and Y have joint pdf x + 3x?y if 0 < x < 1 and 0 < y< 1, f(x, y) = otherwise. (a) Compute P(X<} and Y > }). 1. Simplify the final expression as much as (b) Compute the conditional pdf of X given Y possible.

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State the results of (a) either as fractions or as numbers with 4 decimal places.

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Assume that X and Y have joint pdf
x+ 3x?y if 0 <x <1 and 0 < y < 1,
f(x, y)
otherwise.
(a) Compute P(X < and Y > }).
(b) Compute the conditional pdf of X given Y = . Simplify the final expression as much as
possible.
Transcribed Image Text:Assume that X and Y have joint pdf x+ 3x?y if 0 <x <1 and 0 < y < 1, f(x, y) otherwise. (a) Compute P(X < and Y > }). (b) Compute the conditional pdf of X given Y = . Simplify the final expression as much as possible.
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