Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fractions. The number of tails in 3 tosses of a coin.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The image is from an online educational platform, specifically a lesson on discrete random variables. Here, students are asked to construct a discrete probability distribution for a random variable representing the "number of tails in 3 tosses of a coin." The probabilities should be expressed as simplified fractions.

### Question:
- **Objective:** Construct the discrete probability distribution.
- **Random Variable:** Number of tails in 3 coin tosses.

### Answer Section:
A table is presented with the following columns:
- **x (Number of Tails):** 0, 1, 2, 3
- **P(X = x):** Students are expected to fill in the probabilities for each outcome.

There are tools available to help students input their answers:
- **Tables:** A button presumably offering a way to organize data or access tables.
- **Keypad** and **Keyboard Shortcuts:** Assist with data entry and ease of input.

The page includes a progress indicator showing a score of 15/22 correct answers given so far.

At the bottom, there is a "Submit Answer" button for students to finalize their responses. 

This exercise is part of Lesson 6.1-6.3 on discrete random variables from Hawkes Learning.
Transcribed Image Text:The image is from an online educational platform, specifically a lesson on discrete random variables. Here, students are asked to construct a discrete probability distribution for a random variable representing the "number of tails in 3 tosses of a coin." The probabilities should be expressed as simplified fractions. ### Question: - **Objective:** Construct the discrete probability distribution. - **Random Variable:** Number of tails in 3 coin tosses. ### Answer Section: A table is presented with the following columns: - **x (Number of Tails):** 0, 1, 2, 3 - **P(X = x):** Students are expected to fill in the probabilities for each outcome. There are tools available to help students input their answers: - **Tables:** A button presumably offering a way to organize data or access tables. - **Keypad** and **Keyboard Shortcuts:** Assist with data entry and ease of input. The page includes a progress indicator showing a score of 15/22 correct answers given so far. At the bottom, there is a "Submit Answer" button for students to finalize their responses. This exercise is part of Lesson 6.1-6.3 on discrete random variables from Hawkes Learning.
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