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Mathematics, 18.11.2020 17:10 amcdonald009

Alice, Bob, and Carl arrange to meet for lunch on a certain day. They arriveindependently at uniformly distributed times between 1 pm and 1:30 pm on that day. Required:
a. What is the probability that Carl arrives first?
b. What is the probability that Carl will have to wait more than 10 minutes for one of the others to show up?
c. What is the probability that Carl will have to wait more than 10 minutes for both of the others to show up?
d. What is the probability that the person who arrives second will have to wait more than 5 minutes for the third person to show up?

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Alice, Bob, and Carl arrange to meet for lunch on a certain day. They arriveindependently at uniform...
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