Basic Probability and Discrete Probability Distributions

7/15/1999


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Table of Contents

Basic Probability and Discrete Probability Distributions

Chapter Objectives

What is Probability?

Methods of Assigning Probability

a priori Classical Method

Empirical Classical Method

Experiments & Outcomes

Outcome Properties

Events

Contingency Table

PPT Slide

Simple (Marginal) Probability

Simple (Marginal) Probability Example

Joint Event Probability

Event Probability Using Contingency Table

Special Events

Joint Event Probability Example

Addition Rule

Addition Rule Example 1: Non-mutually Excl.

Addition Rule Example 2: Mutually Excl.

Conditional Probability

Conditional Probability Example

Conditional Probability Example (Another Approach)

Statistical Independence

Determining Statistical Independence Example

Multiplication Rule

Multiplication Rule Example (Sampling without Replacement)

Multiplication Rule Example (Sampling with Replacement)

Discrete Random Variable and Probability

Discrete Random Variable Probability Distribution

Discrete Random Variable Probability Distribution Example

Expected Value of a Discrete Random Variable

Variance and Standard Deviation of a Discrete Random Variable

Expected Value Example

Variance and Standard Deviation Example

Expected Monetary Value

Expected Monetary Value

Coefficient of Variation

Return-to-Risk Ratio

Binomial Distribution Properties

Binomial Probability Distribution Function

Binomial Probability Distribution Example

Binomial Distribution Characteristics

Conclusion

Author: Revision: Gerald Clarke Original: John J. McGill