## Friday, 4/8/2022

#### Presentation Title

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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.