psu.instructure.com C Quiz: Exam 5 Course Hero D Question 6 80 pts 1. Consider the following brinkmanship game between the US and the USSR where p is the probability the Soviets are "hardline" and q is the probability that an American threat would be actually be carried out. (The US' payoffs are listed first, the Soviet's are listed second.) Nature Soviets Soviets hardline soft 1-p US .. . . . No No Brinkmanship Brinkmanship Brinkmanship Brinkmanship (-5, 5) USSR (-5, 5) USSR Defy Withdraw Defy Withdraw (-5-10q, 5-2q) (3 , -8) (-5-10q, 4-8q) (3 , -3) a. The graph below shows the relationship between q and p. What do the functions A and B each represent? Using the game above, find the values/functions for A and B. (15 pts.) DIL DD A Q U F9 F10 F7 F8 F3 F4 F5 F6Quiz: Exam 5 Course Hero 2My Defy Withdraw Defy Withdraw (-5-10q, 5-2q) (3, - 8) (-5-10q, 4-8q) (3, - 3) a. The graph below shows the relationship between q and p. What do the functions A and B each represent? Using the game above, find the values/functions for A and B. (15 pts.) A B 0 .4776 p b. Using your results from part (a), what would you predict would happen if Kennedy believed that the likelihood the Soviets were hardline was around 0.5? (5 pts.)