Imagine two people are playing tennis. The server chooses a side to serve to (forehand or backhand) and the receiver chooses a side to expect a serve. If the server chooses forehand and the receiver expects it, the receiver wins 60% of the time, but if the receiver expects backhand, the receiver only wins 20%. If the server chooses backhand, and the receiver expects backhand, the receiver wins 30%, but if the receiver doesn’t expect it, the receiver only wins 10%.
a. Show the payoff matrix implied by these probabilities.
b. Calculate the probability that the server should use to make the receiver have no benefit from guessing either side.
c. What is the probability of the server winning with this strategy?

Saeed needs money to purchase tools, basic office supplies, parts to refurbish equipment, accounting software, and legal fees. believing saeed's business will be a success, an investor invests $5,000 to saeed open his business. in return, saeed agrees to repay the investor the $5,000 plus 17 percent of the profits of the business. calculate the return on investment for the investor if saeed's business makes $7,000 in profit as a total return of the business in its first year.

Sally is buying a home and the closing date is set for april 20th. the annual property taxes are $1,234.00 and have not been paid yet. using actual days, how much will the buyer be credited and the seller be debited

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?