MAT 3026 • Final • Probability and Statistics

Bernoulli Distribution Part 1

Bernoulli Distribution Part 2

Example 1

Example 2

Binomial Distribution Part 1

Binomial Distribution Part 2

Example 3

Example 4

Geometric Distribution Part 1

Geometric Distribution Part 2

Example 5

Example 6

Hypergeometric Distribution

Example 7

Poisson Distribution Part 1

Poisson Distribution Part 2

Example 8

Example 9

Poisson Approximation to Binomial Distribution

Example 10

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

Weibull Distribution

Binomial Distribution 1

Binomial Distribution 2

Binomial Distribution 3

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

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

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

Reading Z Table - Option 1

Reading Z Table - Option 2

Reading T Table

Reading Chi Table

Z Distribution

Example 1

Exam Like Question 1

Chi Square Distribution

Example 2

T Distribution

Example 3

Example 4

Exam Like Question 2

Z Distribution 1

Z Distribution 2

Z Distribution 3

Z Distribution 4

Z Distribution 5

Z Distribution 6

Z Distribution 7

Z Distribution 8

Z Distribution 9

Z Distribution 10

Normal Approximation to Binomial Distribution 1

Normal Approximation to Binomial Distribution 2

Normal Approximation to Binomial Distribution 3

T Distribution 1

T Distribution 2

T Distribution 3

Chi Square Distribution 1

Chi Square Distribution 2

Chi Square Distribution 3

Chi Square Distribution 4

Confidence Intervals

Interval Formula (When variance is known)

Example 1

Interval Formula (When variance is unknown)

Example 2

Example 3

Interval Formula

Example 1

Example 2

Example 3

C.I. of Mean (Known Variance) 1

C.I. of Mean (Known Variance) 2

C.I. of Mean (Known Variance) 3

C.I. of Mean (Unknown Variance) 1

C.I. of Mean (Unknown Variance) 2

C.I. of Mean (Unknown Variance) 3

C.I. of Variance 1

C.I. of Variance 2

C.I. of Variance 3

Interval Formula (When both variances are known)

Example 1

Example 2

Example 3

Interval Formula (When both variances are unknown, but equal)

Example 4

Example 5

Introduction

Tests for Mean

Example 1

Example 2

Example 3

Example 4

Exam like Question 1

Exam like Question 2

Tests for Variances

Example 7

Example 8

Exam like Question 4

C.I. of Difference of Means (Known Variances) 1

C.I. of Difference of Means (Known Variances) 2

C.I. of Difference of Means (Unknown Variances) 1

C.I. of Difference of Means (Unknown Variances) 2

C.I. of Difference of Means (Unknown Variances) 3

Hypothesis Testing for the Mean 1

Hypothesis Testing for the Mean 2

Hypothesis Testing for the Mean 3

Hypothesis Testing for the Mean 6

Hypothesis Testing for the Mean 7

Hypothesis Testing for Variance 1

Hypothesis Testing for Variance 2