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
icon
Related questions
Topic Video
Question
### 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.

**Interactive Section:** 
Once you've completed the calculations, submit your answers using the button provided.

Submit Question
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. **Interactive Section:** Once you've completed the calculations, submit your answers using the button provided. Submit Question
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman