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3. (12 points) At Fell City, the historical record of maximum annual 15-minute rainfall events is normally distributed with a mean of 2.8 inch/hr and a standard deviation of O.75 inch/h. (a) For a 10-year return period, what rainfall intensity would the drainage infrastructure need to accommodate? (b) If the drainage facilities are designed to this standard, what is the probability that they will flood at least once in a 25-year service life?
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