MA 331 - Mathematical Probability and Statistics I

1. Introduction to Probability
   a) Counting techniques
   b) Permutaions and Combinations
   c) Conditional Probabi
   
   
2. Discrete probability distributions
   a) General distributions
   b) Binomial
   c) Poisson
   d) Negative Binomial
   
   
3. Continuous probability distributions
   a) General distributions
   b) Uniform
   c) Exponential
   d) Normal
   
   
4. Random Variables and their Probability Distributions
   a) Expected value
   b) Variance
   c) Moment generating functions
   
   
5. Important theorems
   a) Law of Large numbers
   b) Central Limit Theorem
   
   

Learning Outcome 1: The student will demonstrate an understanding of probabilities and how to compute them.

Learning Outcome 2: The student will demonstrate an understanding of probability distributions.

Learning Outcome 3: The student will demonstrate an understanding of expected value and variance.