(New page: The most important clue about proving this problem is the following: <math>Py(Y) = Py(Y = k) = Py(X = N - k) = Px(N - k)</math> We know the binomial expression for X because it's stated ...) |
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Revision as of 08:32, 23 September 2008
The most important clue about proving this problem is the following:
$ Py(Y) = Py(Y = k) = Py(X = N - k) = Px(N - k) $
We know the binomial expression for X because it's stated that it has params (N, p), so we can just substitute what we found in the previous step for N and p and try to get the resulting expression in the form of Y as a binomial variable with params (N, 1-p).