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 topoison 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 thefollowing table.ReactionNoneMildStrongColumn TotalWithin 5 Minutes After 5 Minutes Row Total4205525500403481125004604031371000Let'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 thissample of 1000 subjects. (Use 3 decimal places.) (d) P(N and W) 0.419P(M and W) 0.051(e) P(N or M).0.837XXXAre the events N = no reaction and M hild reaction mutually exclusive? Explain.O No. P(N and M) = 0.O Yes. P(N or M) = 0.O No. P(N or M) = 0.Yes. P(N and M) = 0.(f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain.O No. P(N and W) = P(N) P(W).O Yes. P(N and W) # P(N)P(W).O Yes. P(N and W) = P(N) P(W).No. P(N and W) # P(N) P(W).

d) We have to find P(N and W),P(M and W) e)P(N or M)=? We have to check whether events N and M…

Answered: lergic reactions to poison ivy can be…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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