Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washy the all off within 5 minutes of exposure A random sample of 1000 people with known allergies to poison ivy participated in the study. Ot from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 300 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction None Mild Strong Column Total Within 5 Minutes 420 25 500 After 5 Minutes 43 338 115 500 tet's use the following notation for the various events: W Row Total 463 393 1441 1000 washing oft off within 5 minutes, A washing of off after 5 minutes, N no reaction, Minild reaction, & strong reaction: Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.) (a) PONO PM)0 303 PS) 144 (h) PN wo 64 PCS 1 W005 (PNA) PSA) Toum 230 (d) PN and w) 0732 (0) PN or M) x Are the events no action and Mild artion mutually exclusive? Explain No MN or M) 0. No PN and Mj 03 2:37AM