Use the figure and the table to answer the parts below. (a) Find the probability that a real number between 1 and 5 is picked.   (b) Find the probability that a real number between 1 and 8 is picked.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
100%
Use the figure and the table to answer the parts below.
(a) Find the probability that a real number between
1 and 5 is picked.
 
(b) Find the probability that a real number between
1 and 8 is picked.
 

 

A real number between 1 and 11 will be picked according to the probability distribution shown in the figure. Regions under the curve are labeled with \( A \), \( B \), and \( C \). The area of each region is shown in the table.

### Figure Description

The figure depicts a probability distribution, represented by a triangular graph:

- The x-axis ranges from 0 to 12, with specific points at 1 and 11 being relevant to the distribution.
- The triangular shape peaks at x = 5 and then slopes downward, forming a triangle.
- The triangle is divided into three regions:
  - **Region \( A \)** is between x = 1 and x = 5.
  - **Region \( B \)** is between x = 5 and x = 8.
  - **Region \( C \)** is between x = 8 and x = 11.

### Table of Areas

The table provides the area of each region under the curve, indicating the probabilities:

| Region | Area |
|--------|------|
| \( A \) | 0.40 |
| \( B \) | 0.45 |
| \( C \) | 0.15 |

Use the figure and the table to answer the parts below.
Transcribed Image Text:A real number between 1 and 11 will be picked according to the probability distribution shown in the figure. Regions under the curve are labeled with \( A \), \( B \), and \( C \). The area of each region is shown in the table. ### Figure Description The figure depicts a probability distribution, represented by a triangular graph: - The x-axis ranges from 0 to 12, with specific points at 1 and 11 being relevant to the distribution. - The triangular shape peaks at x = 5 and then slopes downward, forming a triangle. - The triangle is divided into three regions: - **Region \( A \)** is between x = 1 and x = 5. - **Region \( B \)** is between x = 5 and x = 8. - **Region \( C \)** is between x = 8 and x = 11. ### Table of Areas The table provides the area of each region under the curve, indicating the probabilities: | Region | Area | |--------|------| | \( A \) | 0.40 | | \( B \) | 0.45 | | \( C \) | 0.15 | Use the figure and the table to answer the parts below.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON