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Data collected at an airport suggests that an exponential distribution with mean value 2.415 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 2.415 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
Problem 1P
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### Rainfall Duration Probability Analysis #### Data Overview Data collected at an airport suggests that an exponential distribution with a mean value of **2.415 hours** is a good model for rainfall duration. ### Questions #### (a) Probability Calculations for Rainfall Duration: 1. **What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?** - \( \boxed{\text{ } } \) 2. **What is the probability that the duration of a particular rainfall event is at most 3 hours?** - \( \boxed{\text{ } } \) 3. **What is the probability that the duration of a particular rainfall event is between 2 and 3 hours?** - \( \boxed{\text{ } } \) #### (b) Probability Relative to Mean Value: 1. **What is the probability that rainfall duration exceeds the mean value by more than 3 standard deviations?** *(Round your answer to four decimal places.)* - \( \boxed{\text{ } } \) 2. **What is the probability that it is less than the mean value by more than one standard deviation?** - \( \boxed{\text{ } } \)
Transcribed Image Text:### Rainfall Duration Probability Analysis #### Data Overview Data collected at an airport suggests that an exponential distribution with a mean value of **2.415 hours** is a good model for rainfall duration. ### Questions #### (a) Probability Calculations for Rainfall Duration: 1. **What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?** - \( \boxed{\text{ } } \) 2. **What is the probability that the duration of a particular rainfall event is at most 3 hours?** - \( \boxed{\text{ } } \) 3. **What is the probability that the duration of a particular rainfall event is between 2 and 3 hours?** - \( \boxed{\text{ } } \) #### (b) Probability Relative to Mean Value: 1. **What is the probability that rainfall duration exceeds the mean value by more than 3 standard deviations?** *(Round your answer to four decimal places.)* - \( \boxed{\text{ } } \) 2. **What is the probability that it is less than the mean value by more than one standard deviation?** - \( \boxed{\text{ } } \)
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