MCB 1007 • Midterm II + Final • Introduction to Probability Theory and Statistics

Chebyshev's Inequality

Example

Introduction

Formulas

Properties

Example 1

Example 2

Example 3

Example 4

Example 5

Expected Value for Discrete Joint RV (Review)

Variance for Discrete Joint RV (Review)

Expected Value and Variance for Continuous Joint RV (Review)

Conditional Expectation for Discrete Joint RV

Example 1

Example 2

Conditional Expectation for Continuous Joint RV

Example 3

Example 4

Example 5

Chebyshev's Theorem 1

Chebyshev's Theorem 2

Chebyshev's Theorem 3

Conditional Expectation 1

Conditional Expectation 2

Moment Generating Function 1

Moment Generating Function 2

Moment Generating Function 3

Moment Generating Function 4

Moment Generating Function 5

Bernoulli Distribution Part 1

Bernoulli Distribution Part 2

Example 1

Binomial Distribution Part 1

Binomial Distribution Part 2

Example 2

Example 3

Hypergeometric Distribution

Example 4

Negative Binomial Distribution Part 1

Negative Binomial Distribution Part 2

Example 5

Example 6

Geometric Distribution Part 1

Geometric Distribution Part 2

Example 7

Example 8

Poisson Distribution Part 1

Poisson Distribution Part 2

Example 9

Example 10

Poisson Approximation to Binomial Distribution

Example 11

Continuous Uniform Distribution

Example 1

Example 2

Normal Distribution

Standard Normal Distribution

Reading Z Table - Option 1

Reading Z Table - Option 2

Example 3

Normal Approximation to Binomial Distribution

Normal Approximation to Poisson Distribution

Binomial Distribution 1

Binomial Distribution 2

Binomial Distribution 3

Binomial Distribution 4

Poisson distribution 1

Poisson Distribution 2

Poisson Distribution 3

Poisson distribution 4

Hypergeometric Distribution 1

Hypergeometric Distribution 2

Hypergeometric Distribution 3

Hypergeometric Distribution 4

Discrete Uniform Distribution

Negative Binomial Distribution 1

Negative Binomial - Geometric Distribution

Geometric Distribution 1

Geometric Distribution 2

Geometric Distribution 3

Uniform Distribution 1

Uniform Distribution 2

Uniform Distribution 3

Normal Distribution 1

Normal Distribution 2

Normal Distribution 3

Normal Distribution 4

Normal Distribution 5

Normal Distribution 6

Normal Distribution 7

Normal Approximation to Binomial 1

Normal Approximation to Binomial 2