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The weight of potato chips in a large-size bag is stated to be 20 ounces. The am

ID: 3057767 • Letter: T

Question

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 20.1 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 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 20-bag case of potato chips is below 20 ounces?

(If possible, explain how plugged in numbers on the calculator for solution)

Explanation / Answer

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 20.1 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 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 20-bag case of potato chips is below 20 ounces?

(If possible, explain how plugged in numbers on the calculator for solution)