ECON 221 • Introduction to Probability and Statistics I • Midterm

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

Chebyshev's Inequality

Example 14

Axioms of Probability 1

Axioms of Probability 2

Axioms of Probability 3

Axioms of Probability 4

Exam like Question 1

Axioms of Probability 5

Exam like Question 2

Exam like Question 3

Exam like Question 4

Exam like Question 5

Introduction to Counting

Exam like Question 6

Exam like Question 7

Combination & Permutation: Intuition

Exam like Question 8

Exam like Question 9

Combination

Exam like Question 10

Exam like Question 11

Exam like Question 12

Exam like Question 13

Permutation 1

Permutation 2

Exam like Question 14

Exam like Question 15

Exam like Question 16

Intuition of Conditional Probability

Conditional Probability 1

Conditional Probability 2

Conditional Probability and Sets

Exam like Question 19

Exam like Question 20

Exam like Question 21

Exam like Question 22

Exam like Question 23

Exam like Question 24

Total Probability Rule

Bayes Rule

Exam like Question 25

Exam like Question 26

Exam like Question 27

Exam like Question 28

Exam like Question 29

Introduction to Independence

Independence 2

Independence 3

Exam like Question 30

Exam like Question 31

Exam like Question 32

Exam like Question 33

Discrete Random Variables 1

Discrete Random Variables 2

Discrete Random Variables 3

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Exam Like Question 4

Functions of Random Variables

Functions of Random Variables 2

Variance

Exam Like Question 5

Exam Like Question 6

Variance 2

Exam Like Question 3

Exam Like Question 4

Variance Arithmetic

Cumulative Distribution Function

Exam Like Question 1

Exam Like Question 2

What is continuous anyway?

Example

Example

Example

Example

Exam Like Question

Expected Value and Variance

Example

Example

Exam Like Question

Cumulative Distribution Function (CDF)

Finding f(x) Given F(x)

Example

Example

Example

Exam Like Question

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37