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April 5th, 2010, 01:37 PM   #1
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geometric jointly distributed random variables

Suppose that X and Y are independent geometric random variables with the same parameter p. Compute the following: P(X=i|X+Y=n)
hint: Imagine that you continually flip a coin having probability p of coming up heads. If the second head occurs on the nth flip, what is the probability mass function of the time of the first head? I don't understand how the hint helps, but any incite in the right direction is greatly appreciated. Thanks!
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