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 3 standard deviations? (Round your answer What is the probability that it is less than the mean value by more than one standard deviation? four decimal places)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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10.
DETAILS DEVORESTAT9 4.4.061.MI.
A
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 3 standard deviations? (Round your answer to four decimal places.)
What
ASK YOUR TEACHER
probability that it is less than the mean value by more than one standard deviation?
Transcribed Image Text:10. DETAILS DEVORESTAT9 4.4.061.MI. A 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 3 standard deviations? (Round your answer to four decimal places.) What ASK YOUR TEACHER probability that it is less than the mean value by more than one standard deviation?
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