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Each month, an American household generates an average of 28 pounds of newspaper for garbage and/or recycling. Assume this is approximately normally distributed and that

Each month, an American household generates an average of 28 pounds of newspaper for garbage and/or recycling. Assume this is approximately normally distributed and that the standard deviation is 2 pounds. If a household is selected at random, find the probability of it generating between 27-31 pounds per month.

The z score and % to the left of z (also known as the normal distribution probability after you multiply it by 100) are computed in Excel.A value of 1 is used for the cumulative sample size when computing the normal distribution probability since we are considering an individual sheet within the distribution.

Upper End Pounds Newspaper (X) 31 Lower End Pounds Newspaper (X) 27
Mean () 28 Mean () 28
Standard Deviation () 2 Standard Deviation () 2
z-score = (x-)/ 1.5 z-score = (x-)/ -0.5
% to the left of z = NORMDIST*100 93.3 % to the left of z = NORMDIST*100 30.9

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