SOLUTION: the data shows there is a mean flood of a river of +9.0 feet above flood stage with a dispersion of 5.0 feet around the mean flood level. this means if the mean is 9.0 then the ran

Click here to see ALL problems on Probability-and-statistics

Question 472170: the data shows there is a mean flood of a river of +9.0 feet above flood stage with a dispersion of 5.0 feet around the mean flood level. this means if the mean is 9.0 then the range can be from 4.0 above floor stage to 14.0 above flood level. If this is calculated based on 100 years worth of flood measurements, then how would Ifigure out the flood level of a "1000" year flood.
would the flood level still be the same in 1000 years or would it be different?
Can i figure out the "1000" year flood level from this information or do I need more information to calculate.
thanks!
Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website!
for the 100 yr flood. (area under the normal curve greater than .01 has a z of 2.3263)

.
For the 1000 yr flood: (area under the normal curve greater than .001 has a z of 3.09)
(x-9)/2.116=3.09
x-9=6.5
x=15.5 ft
.
Ed