and then transfer to a second bus. Let Y denote the waiting time (in minutes) for the school bus. Assume the total waiting time Y has the pdf 1 у 25 0 10 5 25 a. What is the cumulative distribution function of Y? b. Compute E(Y). c. Compute Var(Y).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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1. In commuting to work, a professor must first get on a bus near her house
and then transfer to a second bus. Let Y denote the waiting time (in minutes) for the
school bus. Assume the total waiting time Y has the pdf
1
0<y<5
25
2
1
f(y) =-
5<y< 10
5 25Y
y < 0 or y > 10
a. What is the cumulative distribution function of Y?
b. Compute E(Y).
c. Compute Var(Y).
Transcribed Image Text:1. In commuting to work, a professor must first get on a bus near her house and then transfer to a second bus. Let Y denote the waiting time (in minutes) for the school bus. Assume the total waiting time Y has the pdf 1 0<y<5 25 2 1 f(y) =- 5<y< 10 5 25Y y < 0 or y > 10 a. What is the cumulative distribution function of Y? b. Compute E(Y). c. Compute Var(Y).
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