The average rainfall, recorded to the nearest hundredth of a centimeter, in New York City, for the month of March is 9.22 centimeters. Assuming a normal distribution with a standard deviation of 2.83 centimeters, find the probability that the next March New York City receives less than 1.84 centimeters of the rain.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The average rainfall, recorded to the nearest hundredth of a centimeter, in New York City, for the month of March is 9.22 centimeters. Assuming a normal distribution with a standard deviation of 2.83 centimeters, find the probability that the next March New York City receives less than 1.84 centimeters of the rain.
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