MTH207 Fall 2012 Syllabus

Topic NumberMajor TopicText ChapterSubtopics
1 Probability Rules 5Definitions
 The Rules of Probability
 The Empirical Method
 The Classical Method
 Monte Carlo Experiments and Simulation
 Subjective Probabilities
2 Addition Rules and Compliments 5Disjoint Events
 The General Addition Rule
 The Compliment Rule
3 Independence and the Multiplication Rule 5Independence
 The Multiplication Rule
 At-least Probabilities
4 Conditional Probability 5Conditional Probabilities
 The General Multiplication Rule
5 Counting Techniques 5The Multiplication Rule
 Permutations
 Combinations
 Permutations with Nondistinct Items
 Probabilities Involving Permutations and Combinations
6 Discrete Probability Distributions 6The Mean of a Discrete Probability Distribution
 The Variance and Standard Deviation of a Discrete Distribution
7 The Binomial and Related Distributions 6Bernoulli Trials
 The Binomial Distribution
 The Geometric Distribution
 The Negative Binomial Distribution
 The Poisson Distribution
 The Hypergeometric Distribution
8 Continuous Probability Distributions 7The Normal Distribution
 The Standard Normal Distribution
 Cumulative Normal Probabilities
 Applications of the Normal Distribution
9 Sampling Distributions 8The Sample Mean
 Sampling from Normal Populations
 The Central Limit Theorem
 Sample Proportions
10 Confidence Intervals 9Confidence Intervals for Means - Sigma Known
 Confidence Intervals for Means - Sigma Unknown
 Confidence Intervals for Proportions
11 Hypothesis Testing 10Terminology
 Hypothesis Tests for a Population Mean - Sigma Known
 Hypothesis Tests for a Population Mean - Sigma Unknown
 Hypothesis Tests for a Proportion