A probability plot of 66 yr of peak discharges for the Kentucky River near Salvisa, Kentuc...

A probability plot of 66 yr of peak discharges for the Kentucky River near Salvisa, Kentucky, is shown in Figure.

(a) What probability distribution is being used?

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(b) What are the mean and standard deviation of the peak discharges?

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(c) If the distribution has other parameters, what are their values?

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(d) What is the 25-yr flow?

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(e) What is the 100-yr flow?

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(f) What is the probability that the annual peak flow will be greater than or equal to 50,000 cfs for all of the next consecutive three years?

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(g) What is the probability that at least one 100-yr event will occur in the next 33 years? In the next 100 years?

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(h) Which plotting position has been used to plot the data points?

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(i) Do the Kentucky River data appear to be skewed?

Figure

Normal probability plot for Kentucky River data. (From Haan, 1977, p. 137.)