[mor- ]× ]" 10 (y) dy = + y 2
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Can someone please explain it to me why this wrong? ASAP??!!!
![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
Osy<5
25
f(y) = { 2
1
-y
25
5 sys 10
5
y < 0 or y > 10
(a) Sketch a graph of the pdf of Y.
f(y)
f(y)
0.20k
0.20아
0.15
0.15
0.10
0.10
0.05
0.05
y
10 O
y
10
4
6
4
6.
8
f(y)
f(y)
0.20아
0.20
0.15
0.15
0.10
0.10
0.05
0.05
6 8
y
10
2 4
6 8
y O
10
4
(b) Verify that
f(y) dy = 1.
* ]; - x ]:
10
f(y) dy =
2
+y
5
1/2
2.
1
(c) What is the probability that total waiting time is at most 4 min?
0.32
(d) What is the probability that total waiting time is at most 6 min?
0.68
(e) What is the probability that total waiting time is between 4 and 6 min?
0.36
(f) What is the probability that total waiting time is either less than 2 min or more than 8 min?
0.20
Need Help?
Read It](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2F95c5e74d-4eef-41af-86b1-1e3d2228c30c%2Fry9awdy_processed.jpeg&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
Osy<5
25
f(y) = { 2
1
-y
25
5 sys 10
5
y < 0 or y > 10
(a) Sketch a graph of the pdf of Y.
f(y)
f(y)
0.20k
0.20아
0.15
0.15
0.10
0.10
0.05
0.05
y
10 O
y
10
4
6
4
6.
8
f(y)
f(y)
0.20아
0.20
0.15
0.15
0.10
0.10
0.05
0.05
6 8
y
10
2 4
6 8
y O
10
4
(b) Verify that
f(y) dy = 1.
* ]; - x ]:
10
f(y) dy =
2
+y
5
1/2
2.
1
(c) What is the probability that total waiting time is at most 4 min?
0.32
(d) What is the probability that total waiting time is at most 6 min?
0.68
(e) What is the probability that total waiting time is between 4 and 6 min?
0.36
(f) What is the probability that total waiting time is either less than 2 min or more than 8 min?
0.20
Need Help?
Read It
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