Bus wait times are uniformly distributed between 9 minutes and 28 minutes. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected bus wait time will be between 18 and 26 minutes. Give answers to the following questions in fraction form. 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 The base of the shaded rectangle is The height of the rectangle is The area of the shaded rectangle is Submit Question prime video hulu a
Bus wait times are uniformly distributed between 9 minutes and 28 minutes. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected bus wait time will be between 18 and 26 minutes. Give answers to the following questions in fraction form. 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 The base of the shaded rectangle is The height of the rectangle is The area of the shaded rectangle is Submit Question prime video hulu a
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Understanding Uniform Distribution in Bus Wait Times
**Concept Explanation:**
Bus wait times are uniformly distributed between 9 minutes and 28 minutes. An unshaded rectangle with an area of 1 represents this distribution. The shaded rectangle shows the probability that a randomly selected bus wait time is between 18 and 26 minutes.
### Diagram Description:
**Graph:**
1. **X-axis:** Marks time from 8 to 29 minutes.
2. **Rectangles:**
- **Unshaded Rectangle:** Covers the interval from 9 to 28 minutes.
- **Shaded Rectangle (Blue):** Covers the interval from 18 to 26 minutes.
### Calculation:
To better understand, answer the following questions in fraction form:
1. **The base of the shaded rectangle is**
- This is the time interval from 18 to 26 minutes.
2. **The height of the rectangle is**
- The height is calculated from the uniform distribution, given that the total area is 1.
3. **The area of the shaded rectangle is**
- The probability of the bus wait time being between 18 and 26 minutes.
> Use the information in the diagram to answer these questions.
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