Question: The weight of potato chips in a medium-size bag is stated to be 10 ounces. The amount that the packaging machine puts in these bags is believed to have a Normal distribution with mean of 10.2 ounces and a standard deviation of 0.12 ounces.

a) What fraction of all bags is sold underweight?

b) Some of the chips are sold in “bargain packs” of 3 bags. What the probability that the mean weight of the 3 bags is below the stated amount?

c) What’s the probability that the mean weight of a 24-bag case of potato chips is below 10 ounces?

d) Explain why we can assume that the sample mean of a either a 3 bag case or 24 bag case follows a normal distribution.