Question: 1. In commuting to work, a professor must first get on a bus near her house and then transfer to a second bus. If the

1. In commuting to work, a professor must first get on

a bus near her house and then transfer to a second bus.

1. 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 1 25 y, 0 10 (a) What is the probability that total waiting time is at most 8 min? (b) What is the probability that total waiting time is between 3 and 8 min? (c) What is the probability that total waiting time is either less than 2 min or more than 6 min? (d) Compute F(x) and E(X)

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