Question

You are buying eggs at your local grocery store. There are 12 eggs in each carton. Having worked in the egg industry, you know the probability that an egg in a carton is cracked when a customer buys it is 0.03. In other words, 3% of all eggs packed in cartons are cracked.

What is the expected number of cracked eggs in a 12-egg carton?
What is the probability that you get 2 cracked eggs in a carton of 12?
Tell me whether getting 2 cracked eggs would be "unusual". Explain your answer using methods we have discussed previously.