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Unformatted text preview: Compute the expected number of matches that occur. 4. If X 1 , X 2 , . . ., X n are independent and identically distributed random variables having uni-form distributions over (0 , 1), Fnd (a) E[max( X 1 , . . ., X n )]; (b) E[min( X 1 , . . ., X n )]. 5. If X and Y are independent and identically distributed with mean and variance 2 , Fnd E B ( X-Y ) 2 . 6. Ten hunters are waiting for ducks to y by. When a ock of ducks ies overhead, the hunters Fre at the same time, but each chooses his target at random, independently of the others. If each hunter independently hits his target with probability 0.6, compute the expected number of ducks that are hit. Assume that the number of ducks in a ock is a Poisson random variable with mean 6. 1...
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- Fall '07