122. Exponential Probability Between 5:00 PM and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9 cars per hour (0.15 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 5:00 PM. F(t) = 1 - ea15t (a) Determine how many minutes are needed for the probability to reach 50%. (b) Determine how many minutes are needed for the probability to reach 80%.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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122. Exponential Probability Between 5:00 PM and 6:00 PM, cars
arrive at Jiffy Lube at the rate of 9 cars per hour (0.15 car per
minute). The following formula from statistics can be used to
determine the probability that a car will arrive within t
minutes of 5:00 PM.
F(t) = 1 - ea15t
Transcribed Image Text:122. Exponential Probability Between 5:00 PM and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9 cars per hour (0.15 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 5:00 PM. F(t) = 1 - ea15t
(a) Determine how many minutes are needed for the
probability to reach 50%.
(b) Determine how many minutes are needed for the
probability to reach 80%.
Transcribed Image Text:(a) Determine how many minutes are needed for the probability to reach 50%. (b) Determine how many minutes are needed for the probability to reach 80%.
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