Present Value. Winners of the Georgia Lotto drawing are given the choice of receiving the winning amount divided equally over 20 years or as a lump-sum cash option amount. The cash option amount is determined by discounting the annual winning payment at 4% over 20 years. This week the lottery is worth $22 million to a single winner. What would the cash option payout be?

This exercise illustrates that poor quality can affect schedules and costs. a manufacturing process has 130 customer orders to fill. each order requires one component part that is purchased from a supplier. however, typically, 3% of the components are identified as defective, and the components can be assumed to be independent. (a) if the manufacturer stocks 130 components, what is the probability that the 130 orders can be filled without reordering components? (b) if the manufacturer stocks 132 components, what is the probability that the 130 orders can be filled without reordering components? (c) if the manufacturer stocks 135 components, what is the probability that the 130 orders can be filled without reordering components?