Processing time for a check-in station has a uniform distribution of (2, 7) minutes. Calculate the probability distribution function (f(x)) for the random variable X representing the processing time. O a) 0.11 O b) 0.30 O c) 0.50 d) 0.20
Processing time for a check-in station has a uniform distribution of (2, 7) minutes. Calculate the probability distribution function (f(x)) for the random variable X representing the processing time. O a) 0.11 O b) 0.30 O c) 0.50 d) 0.20
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
![**Problem Statement:**
The processing time for a check-in station has a uniform distribution of (2, 7) minutes. Calculate the probability distribution function (f(x)) for the random variable X representing the processing time.
**Options:**
- a) 0.11
- b) 0.30
- c) 0.50
- d) 0.20
**Explanation:**
To calculate the probability distribution function for a uniform distribution, use the formula:
\[ f(x) = \frac{1}{b-a} \]
where \( a \) and \( b \) are the lower and upper bounds of the distribution, respectively.
In this case:
\[ a = 2, \ b = 7 \]
\[ f(x) = \frac{1}{7-2} = \frac{1}{5} = 0.20 \]
Therefore, the correct answer is:
- d) 0.20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F322ab9b5-8b73-42ca-a79a-5c7ee3611144%2F494cd020-3d9f-4952-8c16-b5084be0f8ed%2Fn1v8ahb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The processing time for a check-in station has a uniform distribution of (2, 7) minutes. Calculate the probability distribution function (f(x)) for the random variable X representing the processing time.
**Options:**
- a) 0.11
- b) 0.30
- c) 0.50
- d) 0.20
**Explanation:**
To calculate the probability distribution function for a uniform distribution, use the formula:
\[ f(x) = \frac{1}{b-a} \]
where \( a \) and \( b \) are the lower and upper bounds of the distribution, respectively.
In this case:
\[ a = 2, \ b = 7 \]
\[ f(x) = \frac{1}{7-2} = \frac{1}{5} = 0.20 \]
Therefore, the correct answer is:
- d) 0.20
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman