Consider the pdf for the total waiting time Y for two buses f(y) = 5 25 0≤y<5 y 5≤ y ≤10 otherwise a. Verify that f(y) = 1 b. What is the probability that total waiting time is at most 8 minutes? c. What is the probability that total waiting time is between 2 minutes and 7

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Consider the pdf for the total waiting time Y for two buses
f(y) =
0≤y<5
y 5≤ y ≤10
otherwise
a. Verify that f(y) = 1
b. What is the probability that total waiting time is at most 8 minutes?
c. What is the probability that total waiting time is between 2 minutes and 7
minutes?
d. What is the probability that total waiting time is either less than 2 minutes
or more than 9 minutes?
Transcribed Image Text:Consider the pdf for the total waiting time Y for two buses f(y) = 0≤y<5 y 5≤ y ≤10 otherwise a. Verify that f(y) = 1 b. What is the probability that total waiting time is at most 8 minutes? c. What is the probability that total waiting time is between 2 minutes and 7 minutes? d. What is the probability that total waiting time is either less than 2 minutes or more than 9 minutes?
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