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Unformatted text preview: Problem 3 If X , ...,X n are independent with means and variance 2 , then nd E h n X i =1 ( X i X n ) 2 i . Problem 4 If X Gamma ( , ). Find E ( X k ) ,k 1 . Problem 5 If X and Y are independent N (0 , 1), show that P [ X 2 + Y 2 8] 1 8 . (Given: E ( X 4 ) = 3) Problem 6 Boxes and balls again!!! Suppose n balls are thrown randomly into n boxes. Find the probability that only box 1 is empty. 1...
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 Summer '07
 EHRLICHMAN

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