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You arrive at a bus stop at 10 oclock, knowing that the
Chapter , Problem 22(choose chapter or problem)
You arrive at a bus stop at 10 oclock, knowing that the bus will arrive at some time uniformly distributed between 10 and 10:30. What is the probability that you will have to wait longer than 10 minutes? If at 10:15 the bus has not yet arrived, what is the probability that you will have to wait at least an additional 10 minutes?
Questions & Answers
QUESTION:
You arrive at a bus stop at 10 oclock, knowing that the bus will arrive at some time uniformly distributed between 10 and 10:30. What is the probability that you will have to wait longer than 10 minutes? If at 10:15 the bus has not yet arrived, what is the probability that you will have to wait at least an additional 10 minutes?
ANSWER:Step 1 of 3
Given that Bus arrives uniformly at the bus stop between and . Let denote the arrival of bus at the bus stop. Then, is a uniform random variable having density as