if Y1 and Y2 are independent Poisson random variable with parameters λ1 and λ2 re- spectively. Then find the conditional distribution of Y1 given Y1 + Y2 = n. That is calculate P(Y1 = k|Y1 + Y2 = n)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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if Y1 and Y2 are independent Poisson random variable with parameters λ1 and λ2 re-
spectively. Then find the conditional distribution of Y1 given Y1 + Y2 = n. That is calculate
P(Y1 = k|Y1 + Y2 = n).

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