You order a chair and when you receive it, you see that it is faulty, determine: P(chair came from Factory A) P(chair came from Factory B) P(chair came from Factory C)
You order a chair and when you receive it, you see that it is faulty, determine: P(chair came from Factory A) P(chair came from Factory B) P(chair came from Factory C)
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
Transcribed Image Text:You have the following data concerning 5 factories that produce and ship reclining chairs:
Factory
% Chairs produced by this factory
% of production that is faulty
A
26%
9%
В
17%
12%
20%
15%
23%
18%
E
14%
21%
You order a chair and when you receive it, you see that it is faulty, determine:
P(chair came from Factory A)
P(chair came from Factory B)
P(chair came from Factory C)
P(chair came from Factory D)
P(chair came from Factory E)
Expert Solution
Step 1
Let us define some events
A : chair comes from factory A.
B : chair comes from factory B.
C : chair comes from factory C.
D : chair comes from factory D.
E : chair comes from factory E.
F : chair is faulty
Given that
P(A) = 0.26, P(B) = 0.17, P(C) = 0.20, P(D) = 0.23, P(E) = 0.14
P(F|A) = 0.09, P(F|B) = 0.12, P(F|C) = 0.15, P(F|D) = 0.18, P(F|E) = 0.21
NOTE : According to our guidelines we are solving only first three sub parts of a question and the rest parts may be reposted.
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