Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] Y 1, Y2, Yz form a partition of S. P(X|Y1) = .8, P(X | Y2) = .9, PCX | Y3) = .4, P(Y1) = .9, P(Y2) = .1. Find P(Y2 | X). PlY2 | X) = 1 Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] Y 1, Y2, Yz form a partition of S. P(X|Y1) = .8, P(X | Y2) = .9, PCX | Y3) = .4, P(Y1) = .9, P(Y2) = .1. Find P(Y2 | X). PlY2 | X) = 1