ECON 221 • Tüm Sınavlar • 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

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 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

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 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Random Variables

Probability Mass Function

PMF Example 1

PMF Example 2

Cumulative Distribution Function

CDF Example 1

Expected Value

Expected Value Example 1

Expected Value Example 2

Variance

Variance Example 1

Discrete Random Variables 1

Discrete Random Variables 2

Discrete Random Variables 3

Discrete Random Variables 4

Discrete Random Variables 5

Discrete Random Variables 6

Discrete Random Variables 7

Discrete Random Variables 8

Discrete Random Variables 9

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

Normal Approximation to Binomial Distribution

Example 9

Discrete Uniform Distribution Part 1

Discrete Uniform Distribution Part 2

Example 1

Example 2

Geometric Distribution Part 1

Geometric Distribution Part 2

Example 3

Example 4

Negative Binomial Distribution Part 1

Negative Binomial Distribution Part 2

Example 5

Example 6

Binomial Distribution 1

Binomial Distribution 2

Binomial Distribution 3

Poisson Distribution 1

Poisson Distribution 2

Poisson Approximation to Binomial Distribution 1

Probability Density Function - PDF

Example 1

Cumulative Distribution Function - CDF

Example 2

Expected Value

Expected Value - Example 1

Expected Value - Example 2

Variance

Variance - Example 1

Continuous Random Variable 1

Continuous Random Variable 2

Continuous Random Variable 3

Continuous Random Variable 4

Continuous Random Variable 5 - Expected Value

Continuous Random Variable 6 - Expected Value

Continuous Random Variable 7 - Variance

Continous Random Variable 8 - Expected Value

Probability Mass Function

PMF Example

Marginal PMF and CDF

Expected Value

Variance

Expected Value and Variance Example

Conditional PMF and CDF

Conditional Expectation

End of Topic Example - Part I

End of Topic Example - Part II

Introduction

Marginal PDF and CDF

Expected Value and Variance

Conditional PDF and CDF

Conditional Expectation

Example 1

Example 2

Example 3

Discrete Joint Probability 1

Discrete Joint Probability 2

Discrete Joint Probability 3

Discrete Joint Probability 4

Discrete Joint Probability 5

Continuous Joint Probability 1

Continuous Joint Probability 2

Continuous Joint Probability 3

Continuous Joint Probability 4

Continuous Joint Probability 5

Continuous Joint Probability 6

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 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 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

Continuous Uniform Distribution

Normal Distribution 1

Normal Distribution 2

Normal Distribution 3

Normal Distribution 4

Normal Distribution 5

Normal Distribution 6

Normal Distribution 7

Exponential Distribution 1

Exponential Distribution 2

Exponential Distribution 3

Markov's Inequality

Proof of Markov's Inequality

Example 1

Chebyshev's Inequality

Example 2

Sample Mean

Sample Variance

Example 3

Law of Large Numbers

Central Limit Theorem

Example 1

Example 2

Example 3

Example 4

Example 5

Normal Approximation to Binomial Distribution

Normal Approximation to Poisson Distribution

Chebyshev's Theorem 1

Chebyshev's Theorem 2

Sample Mean and Variance 1

Sample Mean and Variance 2

Central Limit Theorem 1

Central Limit Theorem 2

Central Limit Theorem 3

Normal Approximation to Binomial 1

Normal Approximation to Binomial 2

Sampling Distribution 1

Sampling Distribution 2 - Chi Square Distribution

Sampling Distribution 3 - Chi Square Distribution

Sampling Distribution 4 - Chi Square Distribution

Sampling Distribution 5 - T Distribution

Sampling Distribution 6 - T Distribution

Binomial Distribution 1

Binomial Distribution 2

Binomial Distribution 3

Poisson Distribution 1

Poisson Distribution 2

Poisson Approximation to Binomial Distribution 1

Geometric Distribution 1

Geometric Distribution 2

Uniform Distribution 1

Uniform Distribution 2

Exponential Distribution 1

Exponential Distribution 2

Normal Distribution 1

Normal Distribution 2

Normal Distribution 3

Normal Distribution 4

Normal Distribution 5

Sampling Distribution 1

Sampling Distribution 2

Sampling Distribution 3

Sampling Distribution 4

Sampling Distribution 5

Sampling Distribution 6