Gsuppose that the leathernecks football team has decided to try a play involving a medium pass up the middle (lp). they know that their opponents, the bisons, have three possible defensive strategies (states of nature). one, occurring with a 0.25 chance, is that they will defend against the run, in which case the leathernecks will gain 16 yards. another, occurring with a 0.5 chance, is that they will defend against the medium pass, in which case the leathernecks will gain zero yards. the other possibility, occurring with a 0.25 chance, is that they will defend against the long pass, in which case the leathernecks will gain an average of 8 yards.  what is the expected  utility  of the play for the leathernecks?   assume the team  gets linear utility, ut(yards) = y