Assignment:
A company supplies poultry farmers with hens, advertising that a mature B300 Layer produces eggs with a mean weight of 60.7 grams. Suppose that egg weights follow a Normal model with standard deviation 3.1 grams.
A. What fraction of the eggs produced by these hens weigh more than 62 grams?
B. What's the probability that a dozen randomly selected eggs average more than 62 grams?
Provide complete and step by step solution for the question and show calculations and use formulas.