(c) What is the probability that total waiting time is at most 3 min? (d) What is the probability that total waiting time is at most 8 min?
(c) What is the probability that total waiting time is at most 3 min? (d) What is the probability that total waiting time is at most 8 min?
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
I think I've figured out a) so I only need the rest

Transcribed Image Text:In commuting to work, a professor must first get on a bus near her house and then transfer to a second bus. If the waiting time (in minutes) at each stop has a uniform distribution with A = 0 and B = 5, then it can be
shown that the total waiting time Y has the pdf below.
1
-y
25
0 sy < 5
f(y) =
1
5 sy< 10
5
25
y < 0 or y > 10
(a) Sketch a graph of the pdf of Y.
f(y)
f(y)
f(y)
0.20k
0.20|
0.20k
0.15
0.15
0.15
0.10
0.10
0.10
0.05
0.05
0.05
y
10
2
6
8
10
2
4
6
10
4
8
f(y)
0.20|
0.15
0.10
0.05
y
10
6
8
(b) Verify that
f(y) dy = 1.
10
f(y) dy =
+
+

Transcribed Image Text:(c) What is the probability that total waiting time is at most 3 min?
(d) What is the probability that total waiting time is at most 8 min?
(e) What is the probability that total waiting time is between 3 and 8 min?
(f)
What is the probability that total waiting time is either less than 2 min or more than 9 min?
Expert Solution

Step 1
Here AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPART from b to d
HERE GIVEN probability density function of total waiting time
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images

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