Question: A pizza parlor makes small, medium, and large pizzas. Over the years they make 20% small pizzas, 35% medium pizzas, and 45% large pizzas. On

A pizza parlor makes small, medium, and large pizzas. Over the years they make 20% small pizzas, 35% medium pizzas, and 45% large pizzas. On a given Tuesday night they were asked to make only 10 pizzas. If the orders were independent and representative of the longterm percentages, what is the probability that the orders would be for four small, three medium, and three large pizzas? On such a night, what is the expected number of large pizzas to be ordered and what is the expected number of small pizzas to be ordered? What is the variance of the number of large pizzas to be ordered and what is the variance of the number of medium pizzas to be ordered?

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