ENGR 200 (Fall 23) • Probability and Random Variables For Engineers • Midterm II

Cumulative Distribution Function (CDF)

Exam Like Question 1

Exam Like Question 2

What is continuous anyway?

Example 1

Example 2

Example 3

Example 4

Expected Value and Variance

Example 5

Example 6

Cumulative Distribution Function (CDF)

Finding f(x) Given F(x)

Example 7

Exam Like Question 1

Exam Like Question 2

Cumulative Distribution Function 1

Cumulative Distribution Function 2

Continuous Random Variables 1

Continuous Random Variables 2

Continuous Random Variables 3

Continuous Random Variables 4 (Fall 2021)

Continuous Random Variables 5

Continuous Random Variables 6 (Fall 2022)

Continuous Random Variables 7 (Fall 2022)

Continuous Random Variables 8

Joint and Marginal PDF

Example 1

Exam Like Question 1

Exam Like Question 2

Continuous Bayes' Rule

Example 1

Exam Like Question 1

Exam Like Question 2

Continuous Joint Distribution 1 (Fall 2022)

Continuous Joint Distribution 2 (Fall 2022)

Continuous Joint Distribution 3

Continuous Joint Distribution 4

Continuous Joint Distribution 5

Continuous Joint Distribution 6

Continuous Joint Distribution 7

Continuous Joint Distribution 8

Continuous Joint Distribution 9

Continuous Joint Distribution 10

Continuous Joint Distribution 11

Continuous Joint Distribution 12

Continuous Joint Distribution 13

Uniform Distribution

Example 1

Example 2

Exam Like Question 1

Exam Like Question 2

Exponential Distribution

Example 3

Example 4

Memoryless Property

Example 5

Exam Like Question 3

Exam Like Question 4

Normal Distribution

Standard Normal Distribution

Reading Z Table

Example 6

Example 7

Exam Like Question 5

Exam Like Question 6

Uniform Distribution 1

Exponential Distribution 1

Exponential Distribution 2

Exponential Distribution 3 (Fall 2022)

Normal Distribution 1

Normal Distribution 2 (Fall 2022)

Normal Distribution 3

Normal Distribution 4

Normal Distribution 5

Normal Distribution 6 (Fall 2021)