Solving problem N4655 Bayesian probability theory

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4655. Parts for assembly are produced on 2 machines, of which the first produces parts 3 times larger than the second. At the same time, in the production of the first machine, the defect is 2.5%, and in the production of the second - 1.5%. What is the probability that a randomly selected part will not be defective? Find the probability that it was produced on the first machine.

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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