18) Allergic reactions to poison ivy can be miserable. Plant oils cause the reac

Question

18) 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 off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the table. Reaction Within 5 minutes After 5 minutes Row total Mild 60 330 390 Column total 500 500 1,000 What is the probability that a person selected at random washed oil within 5 minutes given that he/she had a strong reaction? Express answer as a decimal rounded to the nearest hundredth. P(washed within 5 minutes, given strong) WO.Spts extra credi

Explanation / Answer

P(Washed within 5 minutes | Strong)

= P(Washed within 5 minutes and strong) / P(Strong)

= 20/140

= 0.14

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