Let A denote the event that a sample is from B denote the event that a sample conform (a) Are events A and B independent? (b) Determine P(B|A).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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2-85. Samples of emissions from three suppliers are classi-
fied for conformance to air-quality specifications. The results
from 100 samples are summarized as follows:
conforms
yes
no
1
22
8
supplier
2
25
5
3
30
10
Let A denote the event that a sample is from supplier 1, and let
B denote the event that a sample conforms to specifications.
(a) Are events A and B independent?
(b) Determine P(B|A).
2-86. If P(A) = 0.2, P(B) = 0.2, and A and B are mutually
exclusive, are they independent?
Transcribed Image Text:2-85. Samples of emissions from three suppliers are classi- fied for conformance to air-quality specifications. The results from 100 samples are summarized as follows: conforms yes no 1 22 8 supplier 2 25 5 3 30 10 Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample conforms to specifications. (a) Are events A and B independent? (b) Determine P(B|A). 2-86. If P(A) = 0.2, P(B) = 0.2, and A and B are mutually exclusive, are they independent?
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