# Homework 2

## Problem 1

Problems from *Probability 4 Data Science* Chapter 3: Exercises 4 (ignore c)

## Problem 2

Show that the variance of a binomial distribution is np(1-p)

## Problem 3

Show that the variance of a poisson distribution is \lambda.

## Problem 4

Show that the expected value of a geometric distribution is \frac{1}{p}.

**Homework 2 is due 2/17/2023 at 11:59 PM. Submit your homework on Canvas as one PDF document.**