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6.49 Let Y₁ be a binomial random variable with n, trials and probability of success given by p. Let Y₂ be another binomial random variable with n₂ trials and probability of success also given by p. If Y₁ and Y₂ are independent, find the probability function of Y₁ + Y₂.

6.49 Let Y₁ be a binomial random variable with n, trials and probability of success given by p. Let Y₂ be another binomial random variable with n₂ trials and probability of success also given by p. If Y₁ and Y₂ are independent, find the probability function of Y₁ + Y₂.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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6.49 Let Y₁ be a binomial random variable with n₁ trials and probability of success given by p. Let Y₂ be another binomial random variable with n₂ trials and probability of success also given by p. If Y₁ and Y₂ are independent, find the probability function of Y₁ + Y₂.
Transcribed Image Text:6.49 Let Y₁ be a binomial random variable with n₁ trials and probability of success given by p. Let Y₂ be another binomial random variable with n₂ trials and probability of success also given by p. If Y₁ and Y₂ are independent, find the probability function of Y₁ + Y₂.
Expert Solution
Step 1

Given:

Y1~Bin(n1,p)

Y2~Bin(n2,p)

Y1 and Y2 are independent. 

The value of PX=x=nx×px×qn-x

Also,

q=1-p

 

 

 

 

 

 

 

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