On a bus stop, the waiting time for a person is uniformly distributed from 0 to 15 minutes. a) What is the probability that a person waits less than 12 minutes? b) For a probability of 90%, what is the maximum time a person can wait?
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David N.
On a bus stop, the waiting time for a person is uniformly distributed from 0 to 15 minutes. What is the probability that a person waits less than 12 minutes? For a probability of 90%, what is the maximum time a person can wait?
You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what time the last bus came by. The time $x$ that you wait before the bus arrives is uniformly distributed on the interval from 0 to 30 minutes. a. What is the probability that you will have to wait longer than 20 minutes? b. What is the probability that you will have to wait less than 10 minutes? c. What is the probability that you will wait between 10 and 20 minutes?
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