Assuming the data follows a Normal distribution, what is the probability that the discharge is greater than or equal to 3,000 cfs? Report your answer as a whole number percentage.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Subject water system design
The table presents the annual daily mean discharge data for USGS Gage 08057000 (Trinity River at Dallas, TX) from the years 2012 to 2021. The discharge is measured in cubic feet per second (ft³/s).

| Year | Discharge (ft³/s) |
|------|-------------------|
| 2012 | 1,462             |
| 2013 | 818               |
| 2014 | 624               |
| 2015 | 6,840             |
| 2016 | 5,344             |
| 2017 | 1,534             |
| 2018 | 3,934             |
| 2019 | 4,190             |
| 2020 | 4,134             |
| 2021 | 2,749             |

The task is to assume this data follows a normal distribution and then calculate the probability that the discharge is greater than or equal to 3,000 cubic feet per second (cfs). The answer should be reported as a whole number percentage.
Transcribed Image Text:The table presents the annual daily mean discharge data for USGS Gage 08057000 (Trinity River at Dallas, TX) from the years 2012 to 2021. The discharge is measured in cubic feet per second (ft³/s). | Year | Discharge (ft³/s) | |------|-------------------| | 2012 | 1,462 | | 2013 | 818 | | 2014 | 624 | | 2015 | 6,840 | | 2016 | 5,344 | | 2017 | 1,534 | | 2018 | 3,934 | | 2019 | 4,190 | | 2020 | 4,134 | | 2021 | 2,749 | The task is to assume this data follows a normal distribution and then calculate the probability that the discharge is greater than or equal to 3,000 cubic feet per second (cfs). The answer should be reported as a whole number percentage.
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