Data collected at an airport suggests that an exponential distribution with mean value 2.455 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 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.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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DEVORESTAT9 4.4.061.MI.
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Data collected at an airport suggests that an exponential distribution with mean value 2.455 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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Transcribed Image Text:XUO 10. P(0 ≤ Z ≤ 2.74) =( Submit Skip (you cannot come back) DETAILS DEVORESTAT9 4.4.061.MI. Φ(0). Data collected at an airport suggests that an exponential distribution with mean value 2.455 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? ASK YOU Submit Assignment Save Assignment Progress
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