STAT 2056 • Midterm II + Final • Probability and Random Variables

Probability Density Function - PDF

Example 1

Cumulative Distribution Function - CDF

Example 2

Expected Value

Expected Value - Example 1

Expected Value - Example 2

Variance

Variance - Example 1

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

Continuous Random Variables 1

Continuous Random Variables 2

Continuous Random Variables 3

Continuous Random Variables 4

Continuous Random Variables 5

Continuous Random Variables 6

Uniform Distribution 1

Uniform Distribution 2

Uniform Distribution 3

Exponential Distribution 1

Exponential Distribution 2

Exponential Distribution 3

Exponential Distribution 4

Normal Distribution 1

Normal Distribution 2

Normal Distribution 3

Normal Distribution 4

Normal Distribution 5

Normal Distribution 6

Normal Distribution 7

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

Covariance

Example 1

Example 2

Example 3

Variance of Sums

Example 4

Correlation

Example 5

Discrete Joint Probability 1

Discrete Joint Probability 2

Discrete Joint Probability 3

Discrete Joint Probability 4

Discrete Joint Probability 5

Continuous Joint Probability 1

Continuous Joint Probability 2

Continuous Joint Probability 3

Continuous Joint Probability 4

Continuous Joint Probability 5

Continuous Joint Probability 6

Continuous Joint Probability 7

Continuous Joint Probability 8

Continuous Joint Probability 9

Continuous Joint Probability 10

Continuous Joint Probability 11

Covariance and Correlation 1

Covariance and Correlation 2

Covariance and Correlation 3

Covariance and Correlation 4

Covariance and Correlation 5

Covariance and Correlation 6

Covariance and Correlation 7

Covariance and Correlation 8

Sample Mean

Sample Variance

Introduction

Example 1

Example 2

Example 3

Example 4

Example 5

Normal Approximation to Binomial Distribution

Normal Approximation to Poisson Distribution

Introduction

Terminology

Example 1

Example 2

Example 3

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Central Limit Theorem 1

Central Limit Theorem 2

Central Limit Theorem 3

Central Limit Theorem 4

Central Limit Theorem 5

Normal Approximation to Binomial 1

Normal Approximation to Binomial 2

Hypothesis Testing Basics 1

Hypothesis Testing Basics 2

Hypothesis Testing Basics 3