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Question: 19 let xi xn be nonnegative integervalued random variables...

Question details

1.9 Let Xi, -.. .Xn be nonnegative integer-valued random variables with identical pffx (-). A discrete mixture distribution W is created with pf fw (x)-puxi(x) +..+pfx, (x), where pi0 for i -1,... .n and X-iPi1. Another random variable Y is defined by Y -

(a) Compare the mean of W and Y. (b) If Xi,.. ,Xn are independent, compare the variance of W and Y.

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