EC 233 • Final • Mathematical Statistics I

Bernoulli Distribution Part 1

Bernoulli Distribution Part 2

Example 1

Example 2

Binomial Distribution Part 1

Binomial Distribution Part 2

Example 3

Example 4

Poisson Distribution Part 1

Poisson Distribution Part 2

Example 5

Example 6

Poisson Approximation to Binomial Distribution

Example 7

Hypergeometric Distribution

Example 8

Geometric Distribution Part 1

Geometric Distribution Part 2

Example 9

Example 10

Negative Binomial Distribution Part 1

Negative Binomial Distribution Part 2

Example 11

Example 12

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

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

Negative Binomial Distribution 1

Negative Binomial - Geometric Distribution

Geometric Distribution 1

Geometric Distribution 2

Geometric Distribution 3

Continuous Uniform Distribution 1

Continuous Uniform Distribution 2

Continuous 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

Discrete Random Variables and Examples

Exam Like Question

Continuous Random Variables and Examples

Exam Like Question

Chebyshev's Theorem

Example 1

Sample Mean

Sample Variance

Central Limit Theorem

Example 2

Example 3

Example 4

Example 5

Example 6

Moment Generating Function 1

Moment Generating Function 2

Moment Generating Function 3

Moment Generating Function 4

Moment Generating Function 5

Chebyshev's Theorem 1

Chebyshev's Theorem 2

Central Limit Theorem 1

Central Limit Theorem 2

Central Limit Theorem 3

Central Limit Theorem 4

Central Limit Theorem 5

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 (Discrete)

Example 2 (Continuous)

Example 3 (Continuous)

Exam Like Question 1

Exam Like Question 2

Variance of Sums

Example 4

Correlation

Example 5

Exam Like Question 3

Distribution Function Techniques

Example 1

Example 2

Example 3

Example 4

Example 5

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

Joint Statistics 1

Joint Statistics 2

Joint Statistics 3

Joint Statistics 4

Joint Statistics 5

Distribution Function Technique 1

Distribution Function Technique 2

Distribution Function Technique 3

Distribution Function Technique 4

Distribution Function Technique 5