In: Statistics and Probability
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.)