Consider a uniform distribution from a = 1 to b= 22. (a) Find the probability that x lies between 7 and 12. (b) Find the probability that x lies between 4 and 18. (c) Find the probability that x lies between 6 and 10. (d) Find the probability that x lies between 10 and 19. A Click the icon to see the definition of the uniform distribution. Uniform Distribution A uniform distribution is a continuous probability distribution for a random variable x between two values a and b (a
Consider a uniform distribution from a = 1 to b= 22. (a) Find the probability that x lies between 7 and 12. (b) Find the probability that x lies between 4 and 18. (c) Find the probability that x lies between 6 and 10. (d) Find the probability that x lies between 10 and 19. A Click the icon to see the definition of the uniform distribution. Uniform Distribution A uniform distribution is a continuous probability distribution for a random variable x between two values a and b (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
Related questions
Topic Video
Question
I need help answering all of the questions!

Transcribed Image Text:Consider a uniform distribution from a =1 to b = 22.
(a) Find the probability that x lies between 7 and 12.
(b) Find the probability that x lies between 4 and 18.
(c) Find the probability that x lies between 6 and 10.
(d) Find the probability that x lies between 10 and 19.
Uniform Distribution
A uniform distribution is a continuous probability distribution for a random variable x
between two values a and b (a < b), where asxsb and all of the values of x are
equally likely to occur. The probability density function of a uniform distribution is
Click the icon to see the definition of the uniform distribution.
(a) The probability that x lies between 7 and 12 is
(Round to three decimal places as needed.)
1
on the interval from x = a to x = b. For any value of x less than a or
y =
b-a
greater than b, y = 0.
(b) The probability that x lies between 4 and 18 is
(Round to three decimal places as needed.)
For two values c and d, where
asc<d<b, the probability that x lies
between c and d is equal to the area
under the curve between c and d, as
shown. So, the area of the central
shaded region equals the probability
(c) The probability that x lies between 6 and 10 is
1
(Round to three decimal places as needed.)
b-a
(d) The probability that x lies between 10 and 19 is
(Round to three decimal places as needed.)
that x lies between c and d.
X
a
d.
Print
Done
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 5 steps with 5 images

Knowledge Booster
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.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