ECON 221 • Midterm I • Introduction to Probability and Statistics I

Introduction

Frequency Distribution

Example 1

Relative Frequency Distribution

Example 2

Cumulative Frequency Distribution

Example 3

Frequency Histogram

Definition of O-give

Example 4

Example 5

Example 6

Measures of Central Tendancy

Example 7

Measures of Dispersion

Example 8

Example 9

Example 10

Example 11

Example 12

Example 13

Skewness and Kurtosis

Stem and Leaf Diagram

Example 14

Example 15

Box and Whisker Plot

Example 16

Comparing Boxplots

Example 17

Example 18

Chebyshev's Inequality

Example 19

Understanding Data 1

Understanding Data 2

Understanding Data 3

Understanding Data 4

Chebyshev's Theorem 1

Chebyshev's Theorem 2

Sample Space and Events

Probability

Axioms of Probability

Some Rules

Coin Example

Dice Example

Card Example 1

Card Example 2

Ball Example

Set Example

Birthday Example

Axioms of Probability 1

Axioms of Probability 2

Axioms of Probability 3

Axioms of Probability 4

Basic Principles of Counting

Counting Examples

Permutations

Permutations Example

Groups and Circular Permutation Example

Identical Objects Example 1

Identical Objects Example 2

Identical Objects Example 3

Combination

n choose r

Committee Example 1

Committee Example 2

Ball Example 1

Ball Example 2

Counting 1 - Product Rule

Counting 2 - Product Rule

Counting 3 - Product Rule

Counting 4 - Product Rule

Counting 5 - Permutations

Counting 6 - Permutations

Counting 7 - Permutations

Counting 8 - Permutations

Counting 9 - Permutations

Counting 10 - Permutations

Counting 11 - Circular Permutation

Counting 12 - Repeated Permutation

Counting 13 - Combinations

Conditioning Events

Total Probability Rule

Example 1

Example 2

Example 3

Bayes' Rule

Bayes' Rule Example 1

Bayes' Rule Example 2

Independence

Independence Example 1

Independence Example 2

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

Conditional Probability and Independence 6

Bayes' Rule 1

Bayes' Rule 2

Bayes' Rule 3

Bayes' Rule 4

Bayes' Rule 5

Bayes' Rule 6

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Question 15

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Question 10

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Question 12

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