Description

This is a course in Probability Theory with a minimum of prerequsites designed primarily for students in the Social Sciences who normally would take a Statistics course in their own department. Credit will only be given for one of MATH 111 and STAT 100.

Prerequisites

Satisfactory score on Math Department placement exam or completion of the appropriate module of MATH 003, or MATH 110. Not open to students who have completed STAT 100 or any MATH or STAT course with prerequisite of MATH 141. Credit will be granted for only one of the following: MATH 111 or STAT 100

Topics

Counting

Sets
Venn Diagrams
Partition principle for counting
Multiplication rule
Permutations
Combinations
Binomial formula

Probability

Sample spaces
Probability fundamentals

Conditional Probabilities and Independence

Conditional probability
Bayes Theorem
Independence

Discrete Random Variables

Probability function
Expected value
Variance
Binomial Distribution
Hypergeometric random variables

Continuous Random Variables

Normal random variables
Normal approximation
Probability estimation