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 allergi 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 summarize following table. Reaction None Mild Strong Column Total P(M) P(S) Within 5 Minutes After 5 Minutes 420 55 25 500 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 f sample of 1000 subjects. (Use 3 decimal places.) (a) P(N) (b) P(NIW) P(SW) (c) P(NIA) P(SA) (d) P(N and W) P(M and W) Row Total 460 403 137 1000 40 348 112 500
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 allergi 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 summarize following table. Reaction None Mild Strong Column Total P(M) P(S) Within 5 Minutes After 5 Minutes 420 55 25 500 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 f sample of 1000 subjects. (Use 3 decimal places.) (a) P(N) (b) P(NIW) P(SW) (c) P(NIA) P(SA) (d) P(N and W) P(M and W) Row Total 460 403 137 1000 40 348 112 500
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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