The 80-year record of annual precipitation at a midwestern gauge location has a range between 14 in. in 1972 and 42 in. in 2001. The record has a mean of 27.6 in. and a standard deviation of 6.06 in. Assuming a normal distribution, (a) plot the frequency curve on probability paper, (b) determine the probability of a drought worse than the 1972 value, and (c) determine the recurrence interval of the 2001 maximum depth and compare it with the apparent recurrence interval.
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