Solving problem N3774 Bayesian probability theory

Solving problem N3774 Bayesian probability theory

3774. The warehouse receives products from two factories, the products of the first factory being 60%, and the second - 40%. It is known that the average percentage of non-standard products for the first factory is 3%, for the second - 2%. Find the probability that a product taken at random is produced at the first factory, if it turned out to be standard.

Additional information:

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

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