PROBLEM $3$:

The observed peak discharges for large floods of Willow Creek near Park Ridge, IL are listed in the following table.

a$.)$ List the annual maximum series in ranked order and show the corresponding return period and exceedance probability.

b$.)$ Predict the discharge for the $100-$year storm using the Gumbel distribution.

c$.)$ Do you think this is a good prediction for the $100-$year storm? Justify your response.

$\backslash$table$[[\backslash$table$[[$Water$],[$year$]],\backslash$table$[[$Date$],[(m\frac{m}{d}\frac{d}{y}y)$