MATH 240 • Tüm Sınavlar • Probability and Statistics for Engineers and Scientists

Introduction

Frequency Distribution

Example 1

Relative Frequency Distribution

Example 2

Cumulative Frequency Distribution

Example 3

Frequency Histogram

Measures of Central Tendancy

Example 7

Measures of Dispersion

Example 8

Example 9

Example 10

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

Conditioning Events

Total Probability Rule

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Bayes' Rule

Bayes' Rule Example 1

Bayes' Rule Example 2

Independence

Independence Example 1

Independence Example 2

Axioms of Probability 1

Axioms of Probability 2

Axioms of Probability 3

Axioms of Probability 4

Conditional Probability 1

Conditional Probability 2

Conditional Probability 3

Conditional Probability 4

Independence 1

Independence 2

Conditional Probability and Independence

Bayes' Rule 1

Bayes' Rule 2

Bayes' Rule 3

Bayes' Rule 4

Bayes' Rule 5

Bayes' Rule 6

Bayes' Rule 7

Bayes' Rule 8

Bayes' Rule 9

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

Variance Example 2

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

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

Continuous Random Variables 1

Continuous Random Variables 2

Continuous Random Variables 3

Continuous Random Variables 4

Continuous Random Variables 5

Continuous Random Variables 6

Continuous Random Variables 7

Continuous Random Variables 8

Continuous Random Variables 9

Continuous Random Variable 10

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

Geometric Distribution Part 1

Geometric Distribution Part 2

Example 9

Example 10

Negative Binomial Distribution Part 1

Negative Binomial Distribution Part 2

Example 11

Example 12

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

Binomial Distribution 1

Binomial Distribution 2

Binomial Distribution 3

Poisson distribution 1

Poisson Distribution 2

Poisson Distribution 3

Poisson distribution 4

Hypergeometric Distribution 1

Hypergeometric Distribution 2

Hypergeometric Distribution 3

Hypergeometric Distribution 4

Discrete Uniform Distribution

Negative Binomial Distribution 1

Negative Binomial - Geometric Distribution

Continuous Uniform Distribution 1

Continuous Uniform Distribution 2

Continuous Uniform Distribution 3

Exponential Distribution 1

Exponential Distribution 2

Exponential Distribution 3

Exponential Distribution 4

Normal Distribution 1

Normal Distribution 2

Normal Distribution 3

Normal Distribution 4

Normal Distribution 5

Normal Distribution 6

Normal Distribution 7

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

Covariance

Example 1 (Discrete)

Example 2 (Continuous)

Example 3 (Continuous)

Variance of Sums

Example 4

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

Continuous Joint Probability 7

Continuous Joint Probability 8

Continuous Joint Probability 9

Continuous Joint Probability 10

Covariance

Covariance

Covariance

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Sample Mean

Sample Variance

Example 1

Central Limit Theorem

Example 2

Example 3

Example 4

Example 5

Example 6

Normal Approximation to Binomial Distribution

Normal Approximation to Poisson Distribution

Reading Z Table - Option 1

Reading Z Table - Option 2

Reading T Table

Reading Chi Table

Reading F Table

Z Distribution

Example 1

Exam Like Question 1

Chi Square Distribution

Example 2

T Distribution

Example 3

Example 4

Exam Like Question 2

F Distribution

Example 5

Example 6

Z Distribution 1

Z Distribution 2

Z Distribution 3

Z Distribution 4

Z Distribution 5

Z Distribution 6

Z Distribution 7

Z Distribution 8

Z Distribution 9

Z Distribution 10

Normal Approximation to Binomial Distribution 1

Normal Approximation to Binomial Distribution 2

Normal Approximation to Binomial Distribution 3

T Distribution 1

T Distribution 2

T Distribution 3

Chi Square Distribution 1

Chi Square Distribution 2

Chi Square Distribution 3

Chi Square Distribution 4

F Distribution 1

F Distribution 2

All Distributions 1

All Distributions 2

Introduction

Unbiased Estimators 1

Unbiased Estimators 2

Exam like Question 1

Exam like Question 2

Method of Maximum Likelihood

Example 1

Example 2

Introduction

Table Values

Confidence Interval for Means(Sigma known)

Example 1

Example 2

Confidence Interval for Means (sigma unknown)

Example 1

Example 2

Confidence Interval for Proportions

Example 1

Example 2

Confidence Interval For Difference Between Means (sigma known)

Example 1

Example 2

Confidence Interval For Difference Between Means (sigma unknown)

Example 1

Example 2

Confidence Interval for Difference Between Proportions

Example 1

Example 2

Confidence Interval for Ratio of Variances

Example

Chapter Summary

Point Estimation 1

Point Estimation 2

Point Estimation 3

Confidence Interval Summary

C.I. of Mean (Known Variance) 1

C.I. of Mean (Known Variance) 2

C.I. of Mean (Unknown Variance) 1

C.I. of Mean (Unknown Variance) 2

C.I. of Proportion 1

C.I. of Proportion 2

C.I. of Variance 1

C.I. of Variance 2

C.I. of Difference of Means (Known Variances) 1

C.I. of Difference of Means (Known Variances) 2

C.I. of Difference of Means (Unknown Variances) 1

C.I. of Difference of Means (Unknown Variances) 2

C.I. of Difference Between Proportions 1

C.I. of Differences Between Proportions 2

C.I. of Proportion of Variances 1

Introduction

Terminology

Example 1

Example 2

Power Function of a Test

Example 3

Introduction

Tests for Mean

Example 1

Example 2

Example 3

Tests for Proportion

Example 4

Example 5

Tests for Variances

Example 6

Example 7

Tests for Difference Between Means

Example 1

Example 2

Tests for Ratio of Two Variances

Example 3

Example 4

Introduction

Example 1

Example 2

Analysis of Contingency Tables

Example 3

Example 4

Exam Like Question 2

Hypothesis Testing Basics 1

Hypothesis Testing Basics 2

Testing for the Mean 1

Testing for the Mean 2

Testing for the Mean 3

Testing for the Mean 4

Testing for Proportions 1

Testing for Variance 1

Testing for Variance 2

Testing for Variance 3

Testing for Difference Between Means 1

Testing for Difference Between Means 2

Testing for Difference Between Means 3

Testing for Ratio of Two Variances 1

Testing for Ratio of Two Variances 2

Goodness of Fit Test 1

Goodness of Fit Test 2

Regression Equations

Example 1

Example 2

Linear Regression

Example 3

Example 4

Example 5

Introduction

Example 1

Errors in Multiple Linear Regression

Coefficients in Multiple Linear Regression

Tests for Significance of Regression

Tests for Individual Regression Coefficient

Coefficient of Determination

Example 2

Example 3

Simple Linear Regression 1

Simple Linear Regression 2

Simple Linear Regression 3

Simple Linear Regression 4

Multiple Linear Regression 1

Multiple Linear Regression 2