Homework 1

Homework 1 is due 9/7/2024 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 expected value is \mu.