Let X1, X2, X3 be 3 independent random variables that fit the Poisson distribution with A k parameters. Obtain the probability distribution of the random variable Y = X, + X2 + X3 with the Moment Generating Function technique.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
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Let X1, X2, X3 be 3 independent random variables that fit the
Poisson distribution with A k parameters. Obtain the probability
distribution of the random variable Y = X1 + X2 + X3
with the Moment Generating Function technique.
Transcribed Image Text:Let X1, X2, X3 be 3 independent random variables that fit the Poisson distribution with A k parameters. Obtain the probability distribution of the random variable Y = X1 + X2 + X3 with the Moment Generating Function technique.
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