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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Survey: Reaction to Poison Ivy 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 Table 4-5.
|
TABLE 4-5 Time Within Which Oil Was Washed Off  |
|||
|
Reaction |
Within 5 Minutes |
After 5 Minutes |
Row Total |
|
None |
420 |
50 |
470 |
|
Mild |
60 |
330 |
390 |
|
Strong |
20 |
120 |
140 |
|
Column Total |
500 |
500 |
1000 |
Let’s use the following notation for the various events: W =washing oil off within 5 minute, A = washing oil off after 5 minutes, N= no reaction, M= mild reaction, S=  strong reaction. Find the following probabilities for a personselected at random from this sample of 1000 subjects.
(a) P(N), P(M), P(S)
(b) P(N | W), P(S | W)
(c) P(N | A), P(S | A)
(d) P(N and W), P(M and W)
(e) P(N or M). Are the events N =no reaction and M =mild reaction mutaually exclusive? Explain.
(f) Are the events N= no reaction and W =washing oil off within 5 minutes independent? Explain.
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