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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
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Transcribed Image Text:Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results
from 100 samples are summarized as follows:
Conforms
Yes
No
1
11
4
Supplier
2
20
24
6
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 |4).
Expert Solution
Step 1
(a) A and B are not independent.
For any event to be independent
P(A&B)= p(A) * p(B)
P(A) = 1/3
P(B)= 55/100
p(A&B)= 11/100
So 11/100 is not equal to 55/300= 11/60
So it is not independent.
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