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)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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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