Basic Elements of Probability Theory
General
Prefix
STAT
Course Number
447
Course Level
Undergraduate
Department/Unit(s)
College/School
College of Science and Engineering
Description
A more mathematical treatment of probability distributions than STAT 417. Probability concepts and laws; sample spaces, combinations and permutations, Bayes' theorem, discrete and continuous random variables, expected value, distribution of functions of random variables, two-dimensional variates, central limit theorem; T, F, and chi-square distributions.
Prerequisites
Credits
Min
3
Max
3
Repeatable
No
Goals and Diversity
MN Goal Course
No
Cultural Diversity
No
Learning Outcomes
Outcome
Employ the concepts of sample space and event to calculate classical probabilities.
Outcome
Apply tree diagrams, the law of total probability, and Bayes' rule to calculate conditional probabilities.
Outcome
Define and use random variables.
Outcome
Identify and examine typical distributions such as binomial, Poisson, geometric, hypergeometric, normal, uniform, gamma, beta, and exponential distributions.
Outcome
Calculate marginal distributions and conditional distributions for a given joint distribution.
Outcome
Calculate the mean, variance, quantiles, and moment generating function of a distribution.
Outcome
Calculate the conditional mean and conditional variance of a distribution.
Outcome
Use Jacobians to find distributions or joint distributions.
Outcome
Distinguish basic sampling distributions such as normal, chisquared, t, and F distributions.
Outcome
Apply typical distributions to solve real life problems.
Dependencies
Courses
STAT447
is a
prerequisite
for:
Programs
STAT447
is a
completion requirement
for: