The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 20 and 25 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? 1/30 10 20 30X Time (min) (a) The probability that the friend is between 20 and 25 minutes late is. (Type an integer or a decimal. Round to three decimal places as needed.) (b) There is a 20% probability the friend will arrive within minutes. (Type a whole number.)

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
icon
Concept explainers
Question
The graph to the right is the uniform probability density function for a friend who is \( x \) minutes late.

**(a)** Find the probability that the friend is between 20 and 25 minutes late.

**(b)** It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes?

### Explanation of the Graph:

- **Axes:** The x-axis represents the time in minutes, ranging from 0 to 30 minutes. The y-axis represents the probability density, with a constant value of \( \frac{1}{30} \).
- **Graph Shape:** A rectangle with a height of \( \frac{1}{30} \) from \( x = 0 \) to \( x = 30 \).

### Questions:

**(a)** The probability that the friend is between 20 and 25 minutes late is \(\_\_\_\_\).

*Type an integer or a decimal. Round to three decimal places as needed.*

**(b)** There is a 20% probability the friend will arrive within \(\_\_\_\_\) minutes.

*Type a whole number.*
Transcribed Image Text:The graph to the right is the uniform probability density function for a friend who is \( x \) minutes late. **(a)** Find the probability that the friend is between 20 and 25 minutes late. **(b)** It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? ### Explanation of the Graph: - **Axes:** The x-axis represents the time in minutes, ranging from 0 to 30 minutes. The y-axis represents the probability density, with a constant value of \( \frac{1}{30} \). - **Graph Shape:** A rectangle with a height of \( \frac{1}{30} \) from \( x = 0 \) to \( x = 30 \). ### Questions: **(a)** The probability that the friend is between 20 and 25 minutes late is \(\_\_\_\_\). *Type an integer or a decimal. Round to three decimal places as needed.* **(b)** There is a 20% probability the friend will arrive within \(\_\_\_\_\) minutes. *Type a whole number.*
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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