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Unformatted text preview: Y . 4 5. Suppose X,Y has joint density f X,Y ( x,y ) = ( 1 9 (3x )(2y ) if 0 x 3 and 0 y 2, otherwise. Find the expected value of X 2 + Y 3 , i.e., nd E ( X 2 + Y 3 ). 5 6. Design your own problem and solution. Create your own problem about the expected value of a function of a continuous random variable, or about the variance of a continuous random variable. Design your problem in such a way that you would nd it enjoyable and also interesting (i.e., not completely trivial) if you found this problem in a probability book. Please provide the answer for your problem too. 6...
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 Fall '08
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 Probability

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