MATH 204 • Midterm • Probability and Statistics

Introduction

Frequency Distribution

Example 1

Relative Frequency Distribution

Example 2

Cumulative Frequency Distribution

Example 3

Frequency Histogram

Measures of Central Location

Example 4

Measures of Variability

Example 5

Example 6

Example 7

Skewness and Kurtosis

Stem and Leaf Diagram

Example 8

Example 9

Box and Whisker Plot

Example 10

Comparing Boxplots

Example 11

Example 12

Basic Principles of Counting

Counting Examples

Permutations

Permutations Example

Groups and Circular Permutation Example

Combination

n choose r

Sample Space and Events

Probability

Axioms of Probability

Some Rules

Coin Example

Dice Example

Card Example 1

Card Example 2

Ball Example

Set Example

Conditional Probability

Total Probability Rule

Example 1

Example 2

Example 3

Bayes' Rule

Example 4

Example 5

Independence

Example 6

Random Variables

Probability Mass Function (PMF) for Discrete RV

PMF Example 1

PMF Example 2

Cumulative Distribution Function for Discrete RV

CDF Example

Probability Density Function (PDF) for Continuous RV

PDF Example

Cumulative Distribution Function (CDF) for Continuous RV

CDF Example

Expected Value for Discrete RV

Example 1

Example 2

Variance for Discrete RV

Example 3

Example 4

Expected Value for Continuous RV

Example 5

Example 6

Variance for Continuous RV

Example 7

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

Normal Distribution

Standard Normal Distribution

Reading Z Table - Option 1

Reading Z Table - Option 2

Example 1

Normal Approximation to Binomial Distribution

Example 2

Descriptive Statistics 1

Descriptive Statistics 2

Descriptive Statistics 3

Probability 1

Probability 2

Probability 3

Probability 4

Conditional Probability 1

Conditional Probability 2

Conditional Probability 3

Independence 1

Independence 2

Conditional Probability and Independence

Bayes' Rule 1

Bayes' Rule 2

Bayes' Rule 3

Bayes' Rule 4

Discrete Random Variables 1

Discrete Random Variables 2

Discrete Random Variables 3

Continuous Random Variables 1

Continuous Random Variables 2

Continuous Random Variables 3

Binomial Distribution 1

Binomial Distribution 2

Binomial Distribution 3

Poisson distribution 1

Poisson Distribution 2

Poisson distribution 3

Hypergeometric Distribution 1

Hypergeometric Distribution 2

Hypergeometric Distribution 3

Normal Distribution 1

Normal Distribution 2

Normal Distribution 3

Normal Distribution 4

Normal Distribution 5

Normal Distribution 6

Normal Distribution 7