IND 210 • Midterm • Introduction to 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

Counting and Probability

Conditional Probability and Independence

Bayes' Rule

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

Discrete Joint Random Variables

Discrete Joint RV Example

Marginal PMF and CDF for Discrete Joint RV

Conditional PMF and CDF for Discrete Joint RV

Continuous Joint Random Variables

Marginal PDF and CDF for Continuous Joint RV

Conditional PDF and CDF for Continuous Joint RV

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

Expected Value for Discrete Joint RV

Variance for Discrete Joint RV

Example 8

Conditional Expectation for Discrete Joint RV

Example 9

Example 10

Expected Value and Variance for Continuous Joint RV

Conditional Expectation for Continuous Joint RV

Example 11

Example 12

Covariance

Correlation

Discrete Uniform Distribution Part 1

Discrete Uniform Distribution Part 2

Bernoulli Distribution Part 1

Bernoulli Distribution Part 2

Binomial Distribution Part 1

Binomial Distribution Part 2

Poisson Distribution Part 1

Poisson Distribution Part 2

Poisson Approximation to Binomial Distribution

Geometric Distribution Part 1

Geometric Distribution Part 2

Hypergeometric Distribution

Negative Binomial Distribution Part 1

Negative Binomial Distribution Part 2

Descriptive Statistics 1

Descriptive Statistics 2

Descriptive Statistics 3

Descriptive Statistics 4

Descriptive Statistics 5

Descriptive Statistics 6

Counting 1

Counting 2

Counting 3

Counting 4

Axioms of Probability 1

Axioms of Probability 2

Axioms of Probability 3

Axioms of Probability 4

Axioms of Probability 5

Conditional Probability and Independence 1

Conditional Probability and Independence 2

Conditional Probability and Independence 3

Conditional Probability and Independence 4

Conditional Probability and Independence 5

Bayes' Rule 1

Bayes' Rule 2

Bayes' Rule 3

Bayes' Rule 4

Bayes' Rule 5

Discrete Random Variable 1

Discrete Random Variable 2

Discrete Random Variable 3

Discrete Random Variable 4

Continuous Random Variables 1

Continuous Random Variables 2

Continuous Random Variables 3

Discrete Joint Probability 1

Discrete Joint Probability 2

Discrete Joint Probability 3

Continuous Joint Probability 1

Continuous Joint Probability 2

Continuous Joint Probability 3

Mathematical Expectation 1 - Discrete R.V.

Mathematical Expectation 2 - Discrete R.V.

Mathematical Expectation 3 - Discrete R.V

Mathematical Expectation 4 - Discrete R.V.

Mathematical Expectation 5 - Discrete R.V.

Mathematical Expectation 6 - Continuous R.V.

Mathematical Expectation 7 - Continuous R.V.

Mathematical Expectation 8 - Discrete Joint

Mathematical Expectation 9 - Continuous Joint

Mathematical Expectation 10 - Continuous Joint

Mathematical Expectation 11 - Covariance

Mathematical Expectation 12 - Covariance

Mathematical Expectation 13 - Covariance

Binomial Distribution 1

Binomial Distribution 2

Binomial Distribution 3

Poisson distribution 1

Poisson distribution 2

Poisson Distribution 3

Hypergeometric Distribution 1

Hypergeometric Distribution 2

Negative Binomial Distribution

Negative Binomial - Geometric Distribution

Geometric Distribution 1

Geometric Distribution 2