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The number of pieces of mail received daily at the school office is normally distributed with mean = 100.33 pieces per day and standard deviation

The number of pieces of mail received daily at the school office is normally distributed with mean = 100.33 pieces per day and standard deviation = 25.55 pieces per day. Use the 68-95-99.7 Rule to compute the values in Parts (a) and (b). (a) Between what two values do the middle 95% of daily mail delivery amounts fall? (b) Give the value such that only 2.5% of days have more mail delivery than that day's value. Use Table to answer the following questions. (c) On what percentage of days do they get less than 65 pieces of mail? (d) On what percentage of days do they get more than 140 pieces of mail? Draw a diagram showing the number of pieces of mail and shade the appropriate area on the diagram.

(e) What percentage of days receive an amount of mail daily that is more than 1.75 standard deviations away from the mean? Draw a diagram labeling the -scores and shade the appro- priate area on the diagram. (f) What percentage of days receive an amount of mail daily that is within 1.75 standard devia- tions of the mean? Draw a diagram labeling the -scores and shade the appropriate area on the diagram

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