(-/12 Points] DETAILS BBUNDERSTAT12HS 4.R.012. Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction Researchers at wy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 mir Reaction Within 5 Minutes After 5 Minutes Row Total None 408 65 473 Mild 63 329 392 Strong 29 106 135 Column Total 500 500 1000 Let's use the following notation for the various events: W = washing oil off within 5 minutes, A - (a) P(N) P(M) P(S) (b) P( NW) P(SW) (c) PINIA) PESIA) (d) P(N and W) PCM and W) (e) P[N or M). Are the events N = no reaction and M = mild reaction mutually exclusive? Explain Yes. P[N and M) = 0. Yes. P(Nor M) = 0. O No. P(N and M)0 O No. P[N or M)0 (f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Yes. P(N and W) P[N) P(W) O No. P(N and W) = PIN). PW). Yes. P(N and W) = P(N) - P(W) No: PN and W) PIN) - PCW). Submit