washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Time Within Which Oil Was Washed Off Reaction Within 5 Minutes After 5 Minutes Row Total None 401 66 467 Mild 70 346 416 Strong Column Total 29 88 117 500 500 1,000 Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Suppose a person is selected at random from this sample of 1,000 subjects. (a) Find the following probabilities. (i) P(N) 0.467 (ii) P(M) 0.416 (iii) P(S) x (b) Find the following probabilities. (i) P(NW) 0.802 (ii) P(S| W) 0.058 (c) Find the following probabilities. (i) P(NA) 0.132 (ii) P(S|A) 0.176 (d) Find the following probabilities. (i) P(N and W) 0.401