(d) What is the probability that total waiting time is at most 9 min? 72 (e) What is the probability that total waiting time is between 1 and 9 min? () What is the probability that total waiting time is either less than 3 min or more than 7 min?
(d) What is the probability that total waiting time is at most 9 min? 72 (e) What is the probability that total waiting time is between 1 and 9 min? () What is the probability that total waiting time is either less than 3 min or more than 7 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
Need help with d,e,f
![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
25
0 sy < 5
f(y) =
2
5 < ys 10
25
y < 0 or y > 10
(a) Sketch a graph of the pdf of Y.
f(y)
f(y)
f(y)
f(y)
0.20
0.20
0.20아
0.20
0.15
0.15|
0.15
0.15
0.10
0.10
0.10
0.10
0.05
0.05
0.05
0.05
y
10
4
8
y
10
y
10
2
4
6.
8
10
4
6
8
4
6
8
(b) Verify that
f(y) dy = 1.
1
2
10
f(y) dy =
25
+
2
50
5
+
.5
(c) What is the probability that total waiting time is at most 1 min?
.02
(d) What is the probability that total waiting time is at most 9 min?
.72
(e) What is the probability that total waiting time is between 1 and 9 min?
(f) What is the probability that total waiting time is either less than 3 min or more than 7 min?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7e43dbe-ab72-46fa-955b-a8f42ce6613a%2F5d8fa1bb-778d-43cc-8f4b-f83b965df237%2Feianhel_processed.png&w=3840&q=75)
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
25
0 sy < 5
f(y) =
2
5 < ys 10
25
y < 0 or y > 10
(a) Sketch a graph of the pdf of Y.
f(y)
f(y)
f(y)
f(y)
0.20
0.20
0.20아
0.20
0.15
0.15|
0.15
0.15
0.10
0.10
0.10
0.10
0.05
0.05
0.05
0.05
y
10
4
8
y
10
y
10
2
4
6.
8
10
4
6
8
4
6
8
(b) Verify that
f(y) dy = 1.
1
2
10
f(y) dy =
25
+
2
50
5
+
.5
(c) What is the probability that total waiting time is at most 1 min?
.02
(d) What is the probability that total waiting time is at most 9 min?
.72
(e) What is the probability that total waiting time is between 1 and 9 min?
(f) What is the probability that total waiting time is either less than 3 min or more than 7 min?
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