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Binomial + Condition Distribution

  1. Jul 23, 2009 #1
    1. The problem statement, all variables and given/known data

    Let X be a binomial random variable representing the number of successes in n independent Bernoulli trials. Let Y be the number of successes in the first m trials, where m < n . Find the conditional probability distribution of Y given X=x.
    2. Relevant equations

    3. The attempt at a solution

    So I think I need to use [tex]f_{Y|X} (Y|X) = \frac{f(x,y)}{f_X (X)}[/tex]

    where f(x,y) = n-mCxpxqn-m-x + mCypyqm

    am I correct?
  2. jcsd
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