STAT 240
Probability and Inference 1
Statistics
College of Physical and Mathematical Sciences
Course Description
Set theory; probability; principles of counting; random variables; mathematical expectation; sampling distributions; point estimation.
When Taught
Fall and Winter
Grade Rule
Grade Rule 8: A, B, C, D, E, I (Standard grade rule)
Min
3
Fixed
3
Fixed
3
Fixed
0
Recommended
It is strongly suggested that STAT 130 and MATH 113 be taken concurrently with or before STAT 240.
Title
Sample Spaces
Learning Outcome
<p>Apply fundamentals of set theory, set operations, and counting to specify/enumerate events in a discrete sample space.</p>
Title
Probability
Learning Outcome
<p>Use the axioms of probability, conditional probability, independence, and Bayes' theorem in probabilistic calculations.</p>
Title
Discrete Random Variables
Learning Outcome
<p>Use probability mass functions for discrete random variables and transformations of discrete random variables.</p>
Title
Continuous Random Variables
Learning Outcome
<p>Use probability density and cumulative distribution functions to compute probabilities for continuous random variables.</p>
Title
Expectation and Moments
Learning Outcome
<p>Find and interpret expectations of random variables and functions of random variables; use moment generating functions.</p>
Title
Named Distributions
Learning Outcome
<p>Understand the assumptions and properties of named distributions: binomial, Poisson, uniform, exponential, normal, and gamma.</p>
Title
Joint Distributions
Learning Outcome
<p>Find probabilities and expectations for joint, marginal, and conditional distributions.</p>
Title
Correlation
Learning Outcome
<p>Calculate expectation of linear combinations, covariance, and correlation.</p>
Title
Probabilistic Thinking
Learning Outcome
<p>Apply tools of probability to quantitatively frame and solve problems involving uncertain outcomes.</p>
Title
Simulation
Learning Outcome
<p>Verify probabilistic calculations via simulation.</p>
