Data collected at an airport suggests that an exponential distribution with mean value 2.475 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Data collected at an airport suggests that an exponential distribution with mean value 2.475 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 2.475 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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