# Section 10: Moment Generating Function

### Instructions

• This section covers the concepts listed below.
• For each concept, there is a conceptual video explaining it followed by videos working through examples.
• When you have finished the material below, you can go to the next section or return to the main Mathematical Probability page
Moment Generating Function

### Examples

Directions: There is no example video for this topic.
Moment Generating Function for Poisson Random Variable

### Examples

Directions: There is no example video for this topic.
Moment Generating Function for Normal Random Variable

### Examples

Directions: There is no example video for this topic.
Moment Generating Function for Exponential Random Variable

### Examples

Directions: There is no example video for this topic.
Moment

### Examples

Directions: There is no example video for this topic.
Moments of Exponential Random Variable

### Examples

Directions: There is no example video for this topic.
Moments of Normal Random Variable

### Examples

Directions: There is no example video for this topic.

### Self-Assessment Questions

Directions: The following questions are an assessment of your understanding of the material above. If you are not sure of the answers, you may need to rewatch the videos.
Note: These self-assessment questions apply to all the moment videos on this page.
1. Define the moment generating function for random variables. Can we have a moment generating function that is undefined at all real numbers?
2. What is the moment generating function for each of the distributions we have studied?
3. Why is moment generating function so named? How do you find the third moment of a random variable if you have its moment generating function?