# quiz6 - 3 Suppose X and Y are independent random variables...

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Math 310-1 (Fall 2010) Name: Quiz #6 Time: 20 minutes 1. Let X and Y have this joint distribution: Y X 0 1 2 4 0 . 1 . 1 0 . 2 1 0 0 . 3 0 2 . 1 . 1 0 . 1 (a) Compute the expectations E ( X ) and E ( Y ) and the variances V ar ( X ) and V ar ( Y ). (b) Compute the covariance Cov ( X,Y ).

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2. Let X be a random variable with density f X ( x ) = ( 1 x ( x +1) x = 1 , 2 , 3 ,... 0 otherwise Does f X have ﬁnite expectation? Why or why not?
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Unformatted text preview: 3. Suppose X and Y are independent random variables with expectations E ( X ) = 1, E ( Y ) = 2, and second moments E ( X 2 ) = 2, E ( Y 2 ) = 5. Compute the expectation E (( X + Y ) 2 )....
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quiz6 - 3 Suppose X and Y are independent random variables...

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