Homework 4

Published

March 3, 2023

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

  1. Find the moment-generating function of an exponential distribution.

  2. 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.

  3. From Probability 4 Data Science, Chapter 4 Problem 5

  4. From Probability 4 Data Science, Chapter 4 Problem 6