Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 7 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.01, the probability that a computer produced by factory B is defective is 0.035, and the probability that a computer produced by factory C is defective is 0.039. A computer is selected at random and it is found to be defective. What is the probability it came from factory A? Answer:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Question
Factories A, B and C produce computers. Factory A produces 4 times as
many computers as factory C, and factory B produces 7 times as many computers
as factory C. The probability that a computer produced by factory A is defective is
0.01, the probability that a computer produced by factory B is defective is 0.035, and
the probability that a computer produced by factory C is defective is 0.039.
A computer is selected at random and it is found to be defective. What is the
probability it came from factory A?
Answer:
Transcribed Image Text:Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 7 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.01, the probability that a computer produced by factory B is defective is 0.035, and the probability that a computer produced by factory C is defective is 0.039. A computer is selected at random and it is found to be defective. What is the probability it came from factory A? Answer:
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