IE 227 • Final • Introduction to Probability

Uniform Distribution

Example 1

Example 2

Exponential Distribution

Example 3

Example 4

Memoryless Property

Example 5

Normal Distribution

Standard Normal Distribution

Reading Z Table - Option 1

Reading Z Table - Option 2

Example 6

Normal Approximation to Binomial Distribution

Example 7

Gamma Distribution

Example 8

Relation of Gamma Distribution with Others

Weibull Distribution

Uniform Distribution 1

Uniform Distribution 2

Uniform Distribution 3

Exponential Distribution 1

Exponential Distribution 2

Exponential Distribution 3

Exponential Distribution 4

Exponential Distribution 5

Normal Distribution 1

Normal Distribution 2

Normal Distribution 3

Normal Distribution 4

Normal Distribution 5

Normal Distribution 6

Probability Mass Function

PMF Example

Marginal PMF and CDF

Expected Value

Variance

Expected Value and Variance Example

Conditional PMF and CDF

Conditional Expectation

End of Topic Example - Part I

End of Topic Example - Part II

Introduction

Marginal PDF and CDF

Expected Value and Variance

Conditional PDF and CDF

Conditional Expectation

Example 1

Example 2

Example 3

Discrete Joint Distribution 1

Discrete Joint Distribution 2

Discrete Joint Distribution 3

Discrete Joint Distribution 4

Discrete Joint Distribution 5

Continuous Joint Probability 1

Continuous Joint Probability 2

Continuous Joint Distribution 3

Continuous Joint Distribution 4

Continuous Joint Distribution 5

Continuous Joint Distribution 6

Continuous Joint Distribution 7

Continuous Joint Probability 8

Continuous Joint Probability 9

Continuous Joint Probability 10

Continuous Joint Distribution 11

Distribution Function Techniques

Example 1

Example 2

Example 3

Example 4

Example 5

Exam like Question 1

Exam like Question 2

Exam like Question 3

Exam like Question 4

Exam like Question 5

Exam like Question 6

Exam like Question 7

Sample Mean

Sample Variance

Example 1

Central Limit Theorem

Example 2

Example 3

Example 4

Example 5

Example 6

Normal Approximation to Binomial Distribution

Normal Approximation to Poisson Distribution

Functions of Random Variables 1

Functions of Random Variables 2

Functions of Random Variables 3

Functions of Random Variables 4

Central Limit Theorem 1

Central Limit Theorem 2

Central Limit Theorem 3

Normal Approximation to Binomial 1

Normal Approximation to Binomial 2