Homework 1

Published

February 6, 2026

Homework 1 is due 2/15/2026 at 11:59 PM. Submit your homework on Canvas as one PDF document.

  1. X\sim Bin(n,p), show that the variance of Binomial distribution is np(1-p).
  2. X\sim Pois(\lambda), show that the expected value of a Poisson distribution is \lambda.
  3. X\sim Pois(\lambda), show that the variance of a Poisson distribution is \lambda.
  4. X\sim N(\mu,\sigma^2), show that the variance is \sigma^2.