# Discrete Probability

Discrete Probability
Set theory; discrete probability; conditional probability; finite sample spaces; discrete random variables (pdf, cdf, moments).
STAT
240
 Hours 3.0 Credit, 3.0 Lecture, 0.0 Lab Prerequisites STAT 121; or STAT 151; or STAT 201; or Stat 301. Taught Fall, Winter, Summer Programs Containing STAT 240
Course Outcomes

### Set Theory and Basic Set Operations

Apply fundamentals of set theory and basic set operations

### Discrete Sample Space

Enumerate a discrete sample space with counting techniques

### Bayes Theorem

Solve problems using axioms of probability, conditional probability, independence, and Bayes theorem

### Random Variables

Solve problems with the pdf, cdf, moments of discrete univariate random variables

### Discrete Distributions

Understand the assumptions and properties of the named discrete distributions (Bernoulli, binomial, Poisson, geometric)

### Maximum Likelihood

Solve for the maximum likelihood estimator

### Sampling Distribution

Derive the sampling distribution for the proportion for SRS with and without replacement

### Solve Problems

Solve problems with the pdf, cdf, qf, moments of continuous distributions