This is a variation of problem 2-4 on page 94 of the text. Assume that the units

Question

This is a variation of problem 2-4 on page 94 of the text. Assume that the units of Q are cfs. Do the calculations by hand or with a spreadsheet but clearly show all work. Here is a statement of the problem: The distributions of floods (Q) on two watersheds are given in the following figure. What is the maximum value of f(Q) for each of the watersheds? For watershed 1 and for watershed 2, find the following probabilities: What are the mean and standard deviation of floods for watershed 1 and watershed 2? Do these relative values seem reasonable? Why?

Explanation / Answer

1) The maximum value of f(Q) for watersheds 1 is 200 and for watersheds 2 is 400.

2) FOr watershed 1

a) P(Q>100) = 1-P(Q<100)

                

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