MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 5-5.
Let’s use the following notation for the various
M = mild reaction. S = strong reaction. Find the following
(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) . Are the events N = no reaction and M = mild reaction mutually exclusive? Explain.
(f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain.
Transcribed Image Text:Time Within Which Oil Was Washed
TABLE 5-5
off
Row
Reaction
Within 5 Minutes After 5 Minutes
Total
None
420
50
470
Mild
|60
330
390
Strong
20
120
140
Column Total 500
500
1000
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