Determine the 15-minute storm depths and the average intensities with return periods of 5, 10, 25, 50, and 100 years for a 25-year annual maximum series of 15-minute storm depths given in the first and third columns of Table 5.7 . Suppose that the extreme value type I distribution (the Gumbel distribution) fits the annual maximum series.

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TABLE 5.7 Mean and Standard Deviation Example P; (cm) P-P P; (cm) P-P 2.742 1.112 1.548 -0.082 2.671 1.041 1.264 -0.366 2.657 1.027 1.201 -0.429 2.601 0.971 1.196 -0.434 2.526 0.896 1.105 -0.526 2.394 0.763 1.014 -0.616 2.156 0.526 1.009 -0.621 2.116 0.486 0.860 -0.770 1.990 0.360 0.849 -0.781 1.985 0.355 0.779 -0.851 1.636 0.006 0.708 -0.922 1.610 -0.020 0.585 -1.045 1.550 -0.081