Solving problem N4655 Bayesian probability theory

Solving problem N4655 Bayesian probability theory

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.

Additional information:

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

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