M625 Probability (3 cr.)

This course provides a formal exploration of the modern theory of probability, including Markov chains, generating functions, discrete/continuous probability distributions, expectation, random variables, conditional probability, independence, and joint distributions.

Upon completion of the course, students are expected to be able to do the following:

1. Identify appropriate probability distributions, including joint distributions, to model given situations. (3.d)
2. Find and use moment generating functions to answer questions about random variables. (3.b)
3. Calculate conditional probability and conditional expectation. (3.a)
4. Define and use Markov chains to answer questions about expectations and probability. (3.e)