The weight of potato chips in a large-size bag is stated to be 20 ounces. The amount that the packaging machine puts in these bags is believed to have a normal model with a mean of 20.2 ounces and a standard deviation of 0.11 ounces. a) What fraction of all bags sold are underweight? b) Some of the chips are sold in "bargain packs" of 3 bags. What's the probability that none of the 3 is underweight? c) What's the probability that the mean weight of the 3 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 20 ounces?

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The weight of potato chips in a large-size bag is stated to be 20 ounces. The amount that the packaging machine puts in these bags is believed to have a normal model with a mean of 20.2
ounces and a standard deviation of 0.11 ounces.
a) What fraction of all bags sold are underweight?
b) Some of the chips are sold in "bargain packs" of 3 bags. What's the probability that none of the 3 is underweight?
c) What's the probability that the mean weight of the 3 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 20 ounces?
Transcribed Image Text:The weight of potato chips in a large-size bag is stated to be 20 ounces. The amount that the packaging machine puts in these bags is believed to have a normal model with a mean of 20.2 ounces and a standard deviation of 0.11 ounces. a) What fraction of all bags sold are underweight? b) Some of the chips are sold in "bargain packs" of 3 bags. What's the probability that none of the 3 is underweight? c) What's the probability that the mean weight of the 3 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 20 ounces?
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