A grocery supplier believes that in a dozen eggs, the mean number of broken ones is 0.6 with a standard deviation of 0.5 eggs. You buy 3 dozen eggs without checking them.

a) How many broken eggs do you expect to get?

b) What 's the standard deviation?

c) What assumptions did you have to make about the eggs in order to answer this question? Do you think that assumption is warranted? Explain.