=====Mathematics 340 - Fall 2013=====

====Homework====

===Chapter 7===

**Problems**: 7.75

**Theoretical Exercises**: 7.46, 7.47, 7.49, 7.51

Also:

  - Find the moment generating function for a geometric random variable. Check your answer with the table on page 339.
  - Find the moment generating function for a negative binomial random variable. Check your answer with the table on page 339. Hint: Make use of the moment generating function of a geometric random variable.
  - Let $X$ be a Poisson random variable with mean $\lambda$. Use the moment generating function of $X$ to find the mean and variance of $X$.
  - Suppose $X$ has moment generating function $M(t) = \frac{1}{2}(e^{t} + e^{-t})$. Find the mean and variance of $X$.