# Homework 4

**Homework 4 is due 3/10/2023 at 11:59 PM. Submit your homework on Canvas as one PDF document.**

Find the moment-generating function of an exponential distribution.

Find the moment-generating function of X\sim\chi^2_k and f_X(x)=\frac{x^{k/2-1}\exp\{-x/2\}}{2^{k/2}\Gamma(k/2)} with x>0.

From

*Probability 4 Data Science*, Chapter 4 Problem 5From

*Probability 4 Data Science*, Chapter 4 Problem 6