MATH 240 • Tüm Sınavlar • Introduction to Probability & Statistics for Engineers

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

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

Counting 1

Counting 2

Counting 3

Counting 4

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

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 Variable 7

Discrete Random Variables 8

Discrete Random Variable 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

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

Continuous Uniform Distribution

Example 1

Example 2

Exponential Distribution

Example 3

Example 4

Memoryless Property

Example 5

Binomial Distribution 1

Binomial Distribution 2

Binomial Distribution 3

Binomial Distribution 4

Binomial Distribution 5

Poisson Distribution 1

Poisson Distribution 2

Poisson Distribution 3

Poisson distribution 4

Poisson Distribution 5

Poisson Approximation to Binomial 1

Poisson Approximation to Binomial 2

Uniform Distribution 1

Uniform Distribution 2

Uniform Distribution 3

Exponential Distribution 1

Exponential Distribution 2

Exponential Distribution 3

Exponential Distribution 4

Exponential Distribution 5

Introduction

Frequency Distribution

Example 1

Relative Frequency Distribution

Example 2

Cumulative Frequency Distribution

Example 3

Frequency Histogram

Measures of Central Tendancy

Example 4

Measures of Dispersion

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

Normal Distribution

Standard Normal Distribution

Reading Z Table - Option 1

Reading Z Table - Option 2

Example 1

Example 2

Example 3

Normal Approximation to Binomial Distribution

Example 4

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

Normal Distribution 1

Normal Distribution 2

Normal Distribution 3

Normal Distribution 4

Central Limit Theorem 1

Central Limit Theorem 2

Central Limit Theorem 3

Central Limit Theorem 4

Central Limit Theorem 5

Central Limit Theorem 6

Central Limit Theorem 7

Central Limit Theorem 8

Central Limit Theorem 9

Normal Approximation to Binomial Distribution 1

Normal Approximation to Binomial Distribution 2

Normal Approximation to Binomial Distribution 3

Introduction

Terminology

Example 1

Example 2

Example 3

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Testing Procedure

Table Values (SADECE Z ve T KISIMLARI DAHİL)

How to Perform the Test for Means

Example 1

Example 2

Example 3

Example 4

Exam like Question 1

Exam like Question 2

Introduction

Confidence Interval for Means(Sigma known)

Example 1

Example 2

Example 3

Exam-like Question 1

Confidence Interval for Means (sigma unknown)

Example 1

Example 2

Confidence Interval for Proportions

Example 1

Example 2

Exam-like Question 1

Confidence Interval for Variance

Example 1

Example 2

Example 3

Hypothesis Testing Basics 1

Hypothesis Testing Basics 2

Hypothesis Testing Basics 3

Testing for the Mean 1

Testing for the Mean 2

Testing for the Mean 3

Testing for the Mean 4

Testing for the Mean 5

Testing for the Mean 6

Testing for the Mean 7

Testing for the Mean 8

Testing for the Mean 9

Testing for the Mean 10

Testing for the Mean 11

C.I. of Mean (Known Variance) 1

C.I. of Mean (Known Variance) 2

C.I. of Mean (Known Variance) 3

C.I. of Mean (Unknown Variance) 1

C.I. of Mean (Unknown Variance) 2

C.I. of Mean (Unknown Variance) 3

Regression Equations

Example 1

Example 2

Linear Regression

Example 3

Example 4

Example 5

Example 6

Errors in SLR

Example 7

Some Important Formulas

Slope Paremeter

Test for Slope Parameter

Confidence Interval for Slope Parameter

Example 8

Simple Linear Regression 1

Simple Linear Regression 2

Simple Linear Regression 3

Simple Linear Regression 4

Simple Linear Regression 5

Simple Linear Regression 6

Simple Linear Regression 7

Simple Linear Regression 8

Simple Linear Regression 9