Please solve (b) only!

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Please solve (b) only!

Data collected at an airport suggests that an exponential distribution with mean value 2.815 hours is a good model for rainfall duration.
(a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours? (Round your answers to four decimal places.)
at least 2 hours
at most 3 hours
between 2 and 3 hours
(b) What is the probability that rainfall duration exceeds the mean value by more than 4 standard deviations? (Round your answer to four decimal places.)
What is the probability that it is less than the mean value by more than one standard deviation?
Transcribed Image Text:Data collected at an airport suggests that an exponential distribution with mean value 2.815 hours is a good model for rainfall duration. (a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours? (Round your answers to four decimal places.) at least 2 hours at most 3 hours between 2 and 3 hours (b) What is the probability that rainfall duration exceeds the mean value by more than 4 standard deviations? (Round your answer to four decimal places.) What is the probability that it is less than the mean value by more than one standard deviation?
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