Question: Selling cars. Bill sells new cars for a living. On a weekday afternoon, he will deal with 1 customer with probability 0.2, 2 customers with probability 0.5, and 3 customers with probability 0.3. Each customer has probability 0.2 of buying a car. Customers buy independently of each other.
Describe how you would simulate the number of cars Bill sells in an afternoon. You must first simulate the number of customers, then simulate the buying decisions of 1, 2, or 3 customers. Simulate one afternoon to demonstrate your procedure.