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The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 4871 households discard waste with weights having a mean

The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 4871 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 4871 households have weights that are normally distributed with a mean of 26.42 lb and a standard deviation of 12.38 lb. What is the proportion of weeks in which the waste disposal facility is overloaded? P(M > 26.81) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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