(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 x at most 3 hours 0.7113 0.1481 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.) x
(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 x at most 3 hours 0.7113 0.1481 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.) x
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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
Transcribed Image Text:**Understanding Rainfall Duration Using Exponential Distribution**
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.
### (a) Probability Calculations for Specific Rainfall Durations:
1. **What is the probability that the duration of a particular rainfall event at this location is:**
- **At least 2 hours?**
- Probability: 0.7113
- **At most 3 hours?**
- Probability: 0.7212
- **Between 2 and 3 hours?**
- Probability: 0.1481
*Note: Probabilities are rounded to four decimal places.*
### (b) Probability for Rainfall Duration Exceeding the Mean Value by More Than 3 Standard Deviations:
**Question: What is the probability that rainfall duration exceeds the mean value by more than 3 standard deviations?**
- **Answer:** (answer is not provided in the image-blank field)
*In the context of this calculation, you'll need to input this information correctly rounded to four decimal places.*
This page provides an educational overview of applying exponential distributions to real-world scenarios, specifically focusing on pattern analysis of rainfall duration at an airport.
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