Name(s): Calculating Normal Proportions

1. Hens at the SamIam egg farm lay eggs whose weights are approximately normal. The mean weight of an egg is 1.6 ounces and the standard deviation is 0.32 ounces. The egg farm sells three types of eggs:
1. Extra Large: Those eggs which are 2.15 ounces or larger;
2. Large: Those eggs which are 1.7 to 2.15 ounces;
3. Discount: All eggs whose weight is less than 1.7 ounces.
Out of 5000 eggs, how many should fall into each category?