Suppose that you are an American League manager. The game is tied in the middle innings of a game, and there is a runner on first base with no one out. Given the following probabilities of the four outcomes of a bunt for the batter at the plate, should you signal the batter to sacrifice bunt?

P(Outcome 1) = .75

P(Outcome 2) = .10

P(Outcome 3) = .10

P(Outcome 4) = .05

Assume for simplicity that after the hit or error in outcome 4, there will be men on first and second base and no one out.