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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 0.08 ounces.
​a) What fraction of all bags sold are​ underweight? ​
b) Some of the chips are sold in​ "bargain packs" of 5 bags.​ What's the probability that none none of the 5 are 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 20 bag case of potato chips is below 5 ounces?
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