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Let X1, X2, X3 and X4 be independent geometric random variables having the same parameter p. Find the following probability. P(X4=i | X1+X2+X

Let X1, X2, X3 and X4 be independent geometric random variables having the same parameter p. Find the following probability. P(X4=i | X1+X2+X

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Let X1, X2, X3 and X4 be independent geometric random variables having the same parameter p. Find the following probability. P(X4=i | X1+X2+X3+X4=n) Hint: Recall the relation between geometric and negative binomial random variables.

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