ENGR 201 • Statistics for Engineers • Midterm II

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 1

Covariance 2

Covariance 3

Covariance 4

Variance of Sums

Example 1

Correlation

Example 2

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 and Correlation 1

Covariance and Correlation 2

Covariance and Correlation 3

Covariance and Correlation 4

Covariance and Correlation 5

Covariance and Correlation 6

Introduction

Unbiased Estimators 1

Unbiased Estimators 2

Exam like Question 1

Exam like Question 2

Efficient Estimators

Consistent Estimators 1

Consistent Estimators 2

Introduction

Computing Uncertainities 1

Example 1

Computing Uncertainties 2

Uncertainties for Functions of One Measurement

Example 2

Uncertainties for Functions of Several Measurements

Example 3

Z Table (Option 1)

Z Table (Option 2)

Reading T Table

Sample Mean

Sample Variance

Central Limit Theorem

Example 1

Example 2

Example 3

Example 4

Example 5

Z Distribution

Example 1

Exam Like Question 1

T Distribution

Example 3

Example 4

Unbiased Estimators 1

Unbiased Estimators 2

Unbiased Estimators 3

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

T Distribution 1

T Distribution 2

T Distribution 3

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

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

C.I. of Proportion 1

C.I. of Proportion 2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8