In a bolt factory, machines A(25%), B(35%), C(40%) produce bolts with defective rates 5%,4%,2%. A bolt is defective. Probability it came from C is: MCQ with Answer and Explanation

In a bolt factory, machines A(25%), B(35%), C(40%) produce bolts with defective rates 5%,4%,2%. A bolt is defective. Probability it came from C is:
A. 0.02
B. 0.40
C. 0.23
D. 0.35
Answer: Option C
Solution (By JKExamLibrary)
Bayes: P(C|D) = (0.4×0.02) / (0.25×0.05+0.35×0.04+0.4×0.02) = 0.008/0.0345 ≈ 0.2319.

This question belongs to: Accountancy and Statistics Statistics

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