# Probability and Inference 1

Probability and Inference 1
Set theory; probability; principles of counting; random variables; mathematical expectation; sampling distributions; point estimation.
STAT
240
 Hours 3.0 Credit, 3.0 Lecture, 0.0 Lab Prerequisites STAT 121 & MATH 112; or STAT 121 & MATH 113; or STAT 201 & MATH 112 Recommended Math 113. Taught Fall, Winter, Spring 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