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.
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
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Use the figure and the table to answer the parts below.
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52974bc8-a4de-4d42-883f-f9f7c766178f%2F24db3413-74e7-4900-9761-a96fbfce6065%2F3gcjon_processed.jpeg&w=3840&q=75)
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.
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