The town of KnowWearSpatial, U. S.A. operates a rubbish waste disposal facility that is overloaded if its 4887 households discard waste with weights having a mean that exceeds 26.88 lb/wk. For many different weeks, it is found that the samples of 4887 households have weights that are normally distributed with a mean of 26.64 lb and a standard deviation of 12.93 lb. What is the proportion of weeks in which the waste disposal facility is overloaded?
P(M > 26.88) =

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.

Is this an acceptable level, or should action be taken to correct a problem of an overloaded system?
Yes, this is an acceptable level because it is unusual for the system to be overloaded.
No, this is not an acceptable level because it is not unusual for the system to be overloaded.