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In: Statistics and Probability

The weight of potato chips in a small-size bag is stated to be 6 ounces. The...

The weight of potato chips in a small-size bag is stated to be 6 ounces. The amount that the packaging machine puts in these bags is believed to have a Normal model with a mean of 6.1 ounces and a standard deviation of 0.07 ounces.

a) What percent of all bags sold are underweight? (Round your answer to 4 decimal places.)

b) Some of the chips are sold in "bargain packs" of 3 bags. What is the probability that none of the 3 bags is underweight? (Round your answer to 4 decimal places.)

c) What is the probability that the mean weight of the 3 bags is below the stated amount? (Round your answer to 5 decimal places.)

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