Conditional Probability - Pennsylvania State University
Hence the conditional distribution of X given X + Y = n is a binomial distribution with parameters n and λ1 λ1+λ2. E(X|X +Y = n) = λ1n λ1 +λ2. 3. Consider n+m independent trials, each of which re-sults in a success with probability p. Compute the ex-pected number of successes in the first n trials given that there are k successes in all.
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