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 washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed offwithin 5 minutes. For the other 500 subjects, the oil was washed offafter 5 minutes. The results are summarized in the following table.
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. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.)
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