You have the following data concerning 5 factories that produce and ship reclining chairs:Factory% Chairs produced by this factory% of production that is faultyA26%9%В17%12%20%15%23%18%E14%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)

Answered: You order a chair and when you receive…

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

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

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