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. (Round your answers to four decimal places.) (a) What is the probability that you will have to wait longer than 22 minutes? (b) What is the probability that you will have to wait less than 8 minutes? (c) What is the probability that you will wait between 10 and 18 minutes?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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. (Round your answers to
four decimal places.)
(a) What is the probability that you will have to wait longer than 22 minutes?
(b) What is the probability that you will have to wait less than 8 minutes?
(c) What is the probability that you will wait between 10 and 18 minutes?
Transcribed Image Text: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. (Round your answers to four decimal places.) (a) What is the probability that you will have to wait longer than 22 minutes? (b) What is the probability that you will have to wait less than 8 minutes? (c) What is the probability that you will wait between 10 and 18 minutes?
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