Old Faithful is a geyser in Yellowstone Natural Park that erupts approximately every 90 minutes. Suppose the time between eruptions are uniformly distributed. a) If you stand by the geyser for 75 minutes, what is the probability you will see it erupt? b) What is the probability you will wait less than 15 minutes or more than one hour to see the geyser erupt? c) Suppose you arrive at the geyser and a fellow observer tells you he's being waiting for half an hour and hasn't seen any eruptions. What is the probability the geyser will erupt in the next 25 minutes?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Old Faithful is a geyser in Yellowstone Natural Park that erupts approximately every 90 minutes. Suppose the time between eruptions are uniformly distributed. a) If you stand by the geyser for 75 minutes, what is the probability you will see it erupt? b) What is the probability you will wait less than 15 minutes or more than one hour to see the geyser erupt? c) Suppose you arrive at the geyser and a fellow observer tells you he's being waiting for half an hour and hasn't seen any eruptions. What is the probability the geyser will erupt in the next 25 minutes?
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