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The mean daily rainfall in Los Angeles in December is 0.05 inches with a standard deviation...

The mean daily rainfall in Los Angeles in December is 0.05 inches with a standard deviation of 0.02  inches. What is the probability that the total rainfall in Los Angeles for 37 randomly selected December days (possibly over several years) will not exceed 2 inches?
Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

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