The weight of potato chips in a small-size bag is stated to be 5 ounces. The amount that the packaging machine puts in these bags is believed to have a normal model with a mean of
5.1 ounces and a standard deviation of 0.09 ounces.
a) What fraction of all bags sold are underweight?
b) Some of the chips are sold in "bargain packs" of 5bags. What's the probability that none of the 5 is underweight?
c) What's the probability that the mean weight of the 5 bags is below the stated amount?
d) What's the probability that the mean weight of a 24-bag case of potato chips is below 5 ounces?
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