The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 4771 households discard waste with weights having a mean that exceeds 26.81 lb/wk. For many different weeks, it is found that the samples of 4771 households have weights that are normally distributed with a mean of 26.42 lb and a standard deviation of 12.74 lb. What is the proportion of weeks in which the waste disposal facility is overloaded? P(M > 26.81)

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The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 4771 households discard waste with weights having a mean that exceeds 26.81 lb/wk. For many different weeks, it is found that the samples of 4771 households have weights that are normally distributed with a mean of 26.42 lb and a standard deviation of 12.74 lb.

What is the proportion of weeks in which the waste disposal facility is overloaded?
P(M > 26.81) =

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