(b) Verify that f(y) dy = 1. F) dy = 0+S 25 y dy 10 f(y) dy = 25 4-2-2+1/2 %3D = 1 (c) What is the probability that total waiting time is at most 4 min? (d) What is the probability that total waiting time is at most 6 min? (e) What is the probability that total waiting time is between 4 and 6 min? (f) What is the probability that total waiting time is either less than 2 min or more than 8 min?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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(b) Verify that
f(y) dy = 1.
1
10
25 y dy
f(y) dy = 0 + S
1
4-2-2+1/2
2
= 1
(c) What is the probability that total waiting time is at most 4 min?
(d) What is the probability that total waiting time is at most 6 min?
(e) What is the probability that total waiting time is between 4 and 6 min?
(f)
What is the probability that total waiting time is either less than 2 min or more than 8 min?
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Transcribed Image Text:(b) Verify that f(y) dy = 1. 1 10 25 y dy f(y) dy = 0 + S 1 4-2-2+1/2 2 = 1 (c) What is the probability that total waiting time is at most 4 min? (d) What is the probability that total waiting time is at most 6 min? (e) What is the probability that total waiting time is between 4 and 6 min? (f) What is the probability that total waiting time is either less than 2 min or more than 8 min? Need Help? Read It 20°C Sunny DELL Esc F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 II ! @ # $ % & * 1 2 3 4 5 6 7 8 9 W E R Y A D
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.
-y
osy<5
25
fy) ={ 2
5 25
5 sys 10
y < 0 or y > 10
(a) Sketch a graph of the pdf of Y.
f(y)
f(y)
0.20k
0.20
0.15
0.15
0.10
0.10
0.05
0.05
y
10
4
6.
8
10
4
6.
8.
f(y)
f(y)
0.20
0.20
20°C
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1:38 PM
ENG
3/11/2022
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nspiron 14 S000 2-in-1
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. -y osy<5 25 fy) ={ 2 5 25 5 sys 10 y < 0 or y > 10 (a) Sketch a graph of the pdf of Y. f(y) f(y) 0.20k 0.20 0.15 0.15 0.10 0.10 0.05 0.05 y 10 4 6. 8 10 4 6. 8. f(y) f(y) 0.20 0.20 20°C Sunny 1:38 PM ENG 3/11/2022 DELL Esc F2 F3 F4 FS FO F10 F11 F12 Priser evsert Delete %23 %24 & 4 5 6 8 Backspace Tab E R Y P Caps Lock A S D G н J K Enter V B N M Shift Fn Alt Alt Ctri +Home PgDn End nspiron 14 S000 2-in-1
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