The weight of each “Golden Dairy’s Probiotic Yogurt with Fruit”cup is normally distributed with a mean of 170 grams and a standarddeviation of 12 grams. One package contains six random cups and anypackage with an average weight per cup lower than 158 grams will berejected.

Part A: What fraction of packages will be rejected because theaverage weight is too low?

Part B: In addition to original rejection criteria, suppose anypackages that have an average weight per cup higher than 179 gramsmust be rejected as well. What is the total fraction of packagesthat will be accepted?