In: Statistics and Probability
The weight of potato chips in a medium-size bag is stated to be 10 ounces. The amount that the packaging machine puts in these bags is believed to have a normal model with a mean of 10.1 ounces and a standard deviation of 0.07 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 24-bag case of potato chips is below 10 ounces?