Give given, required, and solution to each problem. 2-85. Samples of emissions from three suppliers are classi-fied for conformance to air-quality specifications. The resultsfrom 100 samples are summarized as follows:conformsyesno1228supplier225533010Let A denote the event that a sample is from supplier 1, and letB 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 mutuallyexclusive, are they independent?

Contingency Table Yes no Total 1 22 8 30 2 25 5 30 3 30 10 40 Total 77 23 100…

Answered: Let A denote the event that a sample is…

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).

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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Question

Give given, required, and solution to each problem.

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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