The weight of potato chips in a medium-size bag is stated to be 8 ounces. The amount that the packaging machine puts in these bags is believed to have a normal model with a mean of 8.1 ounces and a standard deviation of 0.09 ounces.

a) What fraction of all bags sold areunderweight?

b) Some of the chips are sold in"bargain packs" of 5 bags.What's the probability that none of the 5 isunderweight?

c) What's the probability that the mean weight of the 5 bags is below the statedamount?

d) What's the probability that the mean weight of a 24-bag case of potato chips is below 8 ounces?