(a) The probability that the defective tire is made by M₁. (b) The probability that the defective tire is made by M₂.
(a) The probability that the defective tire is made by M₁. (b) The probability that the defective tire is made by M₂.
A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:Problem 11. A warehouse has tires from two manufacturers, M₁ and M₂. The ware-
house has made the following estimates:
(a) 1% of manufacturer M₁'s tires are defective.
(b) 1.5% of manufacturer M₂'s tires are defective.
An inspector comes to the warehouse and inspects one tire and finds it defective. If there
are 550 tires from manufacturer M₁ and 450 tires from manufacturer M₂, find
(a) The probability that the defective tire is made by M₁.
(b) The probability that the defective tire is made by M₂.
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