Discuss normal model with standard deviation


Problem:

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?

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