a. The probability that the commuting time will be less than 51 minutes is 0.5 (Type an integer or a decimal.) b. The probability that the commuting time will be between 45 and 54 minutes is 0.45 (Type an integer or a decimal.) c. The probability that the commuting time will be greater than 49 is 0.6 (Type an integer or a decimal.) d. The mean of the given uniform distribution is μ = 51. TUBO decimal)
a. The probability that the commuting time will be less than 51 minutes is 0.5 (Type an integer or a decimal.) b. The probability that the commuting time will be between 45 and 54 minutes is 0.45 (Type an integer or a decimal.) c. The probability that the commuting time will be greater than 49 is 0.6 (Type an integer or a decimal.) d. The mean of the given uniform distribution is μ = 51. TUBO decimal)
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
Transcribed Image Text:Suppose that the commuting time on a particular train is uniformly distributed between 41 and 61 minutes. a. What is the probability that the commuting time will be less than 51 minutes? b. What is the probability that the commuting time will be between 45 and 54 minutes?
c. What is the probability that the commuting time will be greater than 49 minutes? d. What are the mean and standard deviation of the commuting time?
a. The probability that the commuting time will be less than 51 minutes is 0.5
(Type an integer or a decimal.)
b. The probability that the commuting time will be between 45 and 54 minutes is 0.45
(Type an integer or a decimal.)
c. The probability that the commuting time will be greater than 49 is 0.6
(Type an integer or a decimal.)
d. The mean of the given uniform distribution is μ = 51
(Type an integer or a decimal.)
The standard deviation of the given uniform distribution is o=
(Round to four decimal places as needed.)
Expert Solution
Step 1: Given that
It is given that the random variable X follows Uniform distribution i.e.,
X ~ U(a,b)
a = 41 , b = 61
NOTE:- According to Bartleby expert guidelines, we can answer only first question with their three sub parts and rest can be reposted.
Step by step
Solved in 3 steps with 1 images
Follow-up Questions
Read through expert solutions to related follow-up questions 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