Q1) A specific article is produced by machines M, M2, M3 and M4. The probability that a random article is produced by M1, M2 and M3 is 0.2, 0.3 and 0.1 respectively. The probability for each machine to produce defective articles is given as M1 = 0.03, M2 = 0.02, M3 = 0.04 and Ma = 0.01. What is the probability that a random article was made by Ma, given that it is non-defective?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Q1)
A specific article is produced by machines M, M, M3 and M,. The probability that a random article
is produced by M1, M2 and M3 is 0.2, 0.3 and 0.1 respectively. The probability for each machine to produce
defective articles is given as M1 = 0.03, M2 = 0.02, M3 = 0.04 and Ma = 0.01. What is the probability that a
random article was made by M4, given that it is non-defective?
Transcribed Image Text:Q1) A specific article is produced by machines M, M, M3 and M,. The probability that a random article is produced by M1, M2 and M3 is 0.2, 0.3 and 0.1 respectively. The probability for each machine to produce defective articles is given as M1 = 0.03, M2 = 0.02, M3 = 0.04 and Ma = 0.01. What is the probability that a random article was made by M4, given that it is non-defective?
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