Hi everyone! Read through the material below, watch the videos, work on the Excel lecture and follow up with your instructor if you have questions.

**Learning Outcomes.**

- Create grouped frequency distributions and probability distributions.

**Topic**. This lesson covers: Random Variables, Probability Distributions

- Openstax Sections
- Introductory Statistics by Sheldon Ross, 3rd edition: Section 5.2

**WeBWorK**. Set 4.1

#### Videos

#### The Applied View

Watch the video random variables.

- For the tossing-four-coins experiment, X was defined to be the number of heads. What are the possible values for X?
- Given the probability distribution for X, what is the sum of the probabilities?
- Based on the probability histogram, what is the most likely number of heads to come up in a string of four coin tosses?
- What was the most likely cause of the Challenger disaster?
- What rule of probability was used to find p(0), the probability that none of the six independent field joints failed?

#### Exit Ticket

Suppose a pair of dice is rolled. Let X denote their sum. What are the possible values of of X? Assuming that each of the 36 possible outcomes is equally likely, what is the probability distribution of X? Let E={sum of two die}={2,3,4,5,6,7,8,9,10,11,12}