The random variable x has the following discrete probability distribution. X 10 11 12 13 14 p(x) 0.3 0.3 0.1 0.2 0.1 Since the values that x can assume are mutually exclusive events, the event {x $ 12) is the union of three mutually exclusive events, {x = 10)U(x = 11)U(x = 12). Complete parts a through e. a. Find P(x $ 12). P(XS 12)= b. Find P(x > 12). P(x > 12)= c. Find P(x s 14) P(x S 14)= d. Find P(x = 14). P(x = 14)= e. Find P(x $ 11 or x > 12). P(x s 11 or x > 12)