5 (4 points) 10) The weight of each "Golden Dairy's Probiotic Yogurt with Fruit" cup is normally distributed with a mean of 170 grams and a standard deviation of 12 grams. One package contains six random cups and any package with an average weight per cup lower than 158 grams will be rejected. Part A: What fraction of packages will be rejected because the average weight is too low? Part B: In addition to original rejection criteria, suppose any packages that have an average weight per cup higher than 179 grams must be rejected as well. What is the total fraction of packages that will be accepted? |