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 = 10, then it can be shown that the total waiting time Y has the pdf f(y): = 100 Y - 0 ≤ y ≤ 10 10 ≤ y ≤ 20 a. Sketch a graph of the pdf of Y (do on your own paper, you will not be turning this in. It is for your reference only.) b. Verify that f* f (y)dy = 1 ·∞ [ 1 (u)dy=[ -∞ c. What is the probability that the total waiting time is at most 8 minutes? 1 11⁰ 20 = 10 2 + d. What is the probability that the total waiting time is at most 13 minutes? = 1 e. What is the probability that the total waiting time is between 8 and 13 minutes? f. What is the probability that the total waiting time either less than 7 minutes or more than 14 minutes?
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 = 10, then it can be shown that the total waiting time Y has the pdf f(y): = 100 Y - 0 ≤ y ≤ 10 10 ≤ y ≤ 20 a. Sketch a graph of the pdf of Y (do on your own paper, you will not be turning this in. It is for your reference only.) b. Verify that f* f (y)dy = 1 ·∞ [ 1 (u)dy=[ -∞ c. What is the probability that the total waiting time is at most 8 minutes? 1 11⁰ 20 = 10 2 + d. What is the probability that the total waiting time is at most 13 minutes? = 1 e. What is the probability that the total waiting time is between 8 and 13 minutes? f. What is the probability that the total waiting time either less than 7 minutes or more than 14 minutes?
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
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![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
= 10, then it can be shown that the total waiting time Y has the pdf
f (y) =
=
100 Y
5
10
0 ≤ y ≤ 10
10 ≤ y ≤ 20
a. Sketch a graph of the pdf of Y (do on your own paper, you will not be turning this in. It is for your
reference only.)
[ f(y)dy=[
-∞
b. Verify that [ f (y) dy =
1
10
120
10 =
1
2
+
c. What is the probability that the total waiting time is at most 8 minutes?
d. What is the probability that the total waiting time is at most 13 minutes?
=
1
e. What is the probability that the total waiting time is between 8 and 13 minutes?
f. What is the probability that the total waiting time is either less than 7 minutes or more than 14
minutes?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9974cb88-485f-4954-981d-1d67477878d4%2Fb0dcf191-fb40-485b-970b-f3b7da77c66c%2F0zavby_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
= 10, then it can be shown that the total waiting time Y has the pdf
f (y) =
=
100 Y
5
10
0 ≤ y ≤ 10
10 ≤ y ≤ 20
a. Sketch a graph of the pdf of Y (do on your own paper, you will not be turning this in. It is for your
reference only.)
[ f(y)dy=[
-∞
b. Verify that [ f (y) dy =
1
10
120
10 =
1
2
+
c. What is the probability that the total waiting time is at most 8 minutes?
d. What is the probability that the total waiting time is at most 13 minutes?
=
1
e. What is the probability that the total waiting time is between 8 and 13 minutes?
f. What is the probability that the total waiting time is either less than 7 minutes or more than 14
minutes?
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