Friday, 4/8/2022
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University
Shawnee State University
Major
Mathematical Science with Actuarial Concentration
Presentation Types
Oral Presentation
Keywords:
expository, binomial random variables, Poisson random variables, summation
Abstract
I will be giving an expository talk about the sums of two independent types of discrete random variables. In particular, I will present a proof that the sum of two independent binomial random variables is a binomial random variable. I will also prove that the sum of two independent Poisson random variables is a Poisson random variable. Some background information will be included as well.
Human Subjects
no
Faculty Mentor Name
John Whitaker
Faculty Mentor Title
Professor/Advisor
Faculty Mentor Academic Department
Mathematical Sciences
Recommended Citation
Crawford, Sydney, "Sums of Independent Binomial and Poisson Random Variables" (2022). Celebration of Scholarship. 8.
https://digitalcommons.shawnee.edu/cos/2022/day5/8
Sums of Independent Binomial and Poisson Random Variables
I will be giving an expository talk about the sums of two independent types of discrete random variables. In particular, I will present a proof that the sum of two independent binomial random variables is a binomial random variable. I will also prove that the sum of two independent Poisson random variables is a Poisson random variable. Some background information will be included as well.