3. 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 Osy<5 5 25 5 sys 10 y < 0 or y > 10 a. Sketch a graph of the pdf of Y. b. Verify that , fy)dy =1. c. What is the probability that total waiting time is at most 3 min? d. What is the probability that total waiting time is at most 8 min? e. What is the probability that total waiting time is between 3 and 8 min?

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