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# The amount of snowfall falling in a certain mountian range is normally distributed with a mean of 105 inches, and a standard deviation of 16 inches.

The amount of snowfall falling in a certain mountian range is normally distributed with a mean of 105 inches, and a standard deviation of 16 inches. What is the probalility that the mnean annual snowfall during 64 randomly picked years will exceed 107.8 inches? Round your answer to four decimal places.