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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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

 

 

 

 

 

 

 

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman