For a certain make of a car, spare parts are produced by two manufacturers, A and B.

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For a certain make of a car, spare parts are produced by two manufacturers, A and B. The total production of the manufacturer B is n times as large as that of A. The proportions of defective spare parts produced by the manufacturers A and B are p1 and p2, respectively.

(i) If we purchase a spare part and find out that it is defective, what is the probability that it came from A?

(ii) What relation must hold between p1 and p2 so that the probability a defective item would belong to either of the manufacturers A and B is the same?

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Related Book For  book-img-for-question

Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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