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The weight of potato chips in a small​-size bag is stated to be 5 ounces. The...

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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