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Math Help - Two Ind. Poissons, prove conditional dist of Y1 is binomial

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    Two Ind. Poissons, prove conditional dist of Y1 is binomial

    2.Suppose that Y1 and Y2 are independent Poisson distributed random variables with means lambda1 and lambda2, respectively. Let W = Y1 + Y2. Assume that we had shown that W has a Poisson distribution with mean lambda1 + lambda2. Use this result to show that the conditional distribution of Y1, given that W = w , is a binomial distribution with n=w and p = (lambda1)/(lambda1 + lambda2)



    Please help, thanks for your time
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    MHF Contributor matheagle's Avatar
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    I proved that here last week.....
    http://www.mathhelpforum.com/math-he...tml#post420940
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