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Data collected at an airport suggests that an exponential distribution with mean value 2.855 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 is the probability that it is less than the mean value by more than one standard deviation?

Data collected at an airport suggests that an exponential distribution with mean value 2.855 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 is the probability that it is less than the mean value by more than one standard deviation?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Exponential Distribution in Rainfall Duration Analysis** Data collected at an airport suggests that an exponential distribution with mean value **2.855 hours** is a suitable model for rainfall duration. **(a)** Determine the probability for the following scenarios regarding the duration of a rainfall event at this location (answers should be rounded to four decimal places): - The duration is **at least 2 hours**: [Input Box] - The duration is **at most 3 hours**: [Input Box] - The duration is **between 2 and 3 hours**: [Input Box] **(b)** Calculate the probability for these conditions: - Rainfall duration exceeds the mean value by more than **3 standard deviations** (answer rounded to four decimal places): [Input Box] - It is less than the mean value by more than **one standard deviation**: [Input Box]
Transcribed Image Text:**Exponential Distribution in Rainfall Duration Analysis** Data collected at an airport suggests that an exponential distribution with mean value **2.855 hours** is a suitable model for rainfall duration. **(a)** Determine the probability for the following scenarios regarding the duration of a rainfall event at this location (answers should be rounded to four decimal places): - The duration is **at least 2 hours**: [Input Box] - The duration is **at most 3 hours**: [Input Box] - The duration is **between 2 and 3 hours**: [Input Box] **(b)** Calculate the probability for these conditions: - Rainfall duration exceeds the mean value by more than **3 standard deviations** (answer rounded to four decimal places): [Input Box] - It is less than the mean value by more than **one standard deviation**: [Input Box]
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