MATH 281 • Final • Probability

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

Gamma Distribution

Example 7

Relation of Gamma Distribution with Others

Probability Mass Function

PMF Example

Marginal PMF and CDF

Expected Value

Variance

Expected Value and Variance Example

Discrete Joint Distribution 1

Discrete Joint Distribution 2

Discrete Joint Probability 3

Discrete Joint Probability 4

Discrete Joint Distribution 5

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

Introduction

Marginal PDF and CDF

Expected Value and Variance

Chebyshev's Theorem

Example 1

Sample Mean

Sample Variance

Example 2

Introduction

Measures of Central Tendancy

Example 1

Measures of Dispersion

Example 2

Example 3

Central Limit Theorem - Z Distribution

Example 1

Example 2

Example 3

Example 4

Example 5

Normal Approximation to Binomial Distribution

Normal Approximation to Poisson Distribution

Reading T Table

T distribution

Example 6

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

Central Limit Theorem 1

Central Limit Theorem 2

Central Limit Theorem 3

Normal Approximation to Binomial 1

Normal Approximation to Binomial 2

Chebyshev's Theorem 1

Chebyshev's Theorem 2

Sample Mean and Variance 1

Sample Mean and Variance 2

T distribution

Introduction

Unbiased Estimators 1

Unbiased Estimators 2

Efficient Estimators

Example

Table Values ( SADECE Z ve T KISIMLARI DAHİL)

Confidence Interval of Mean (When variance is known)

Example 1

Exam Like Question 1

Confidence Interval of Mean (When variance is unknown)

Example 2

Example 3

What are we doing?

Terminology

Example 1

Example 2

Exam Like Question 1

Testing Procedure

How to Perform the Test for Means

Example 1

Example 2

Example 3

Example 4

Unbiased Estimator 1

Unbiased Estimator 2

Unbiased Estimator 3

Efficient Estimator

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

Statistical Hypothesis 1

Statistical Hypothesis 2

Statistical Hypothesis 3

Statistical Hypothesis 4

Statistical Hypothesis 5

Statistical Hypothesis 6

Statistical Hypothesis 7

Statistical Hypothesis 8