Solving problem N3764 Bayesian probability theory

Solving problem N3764 Bayesian probability theory

3764. Among the parts arriving at the warehouse, 30% from shop 1, 70% from shop 2. The rejection probability for shop 1 is 0.02, for shop 2 it is 0.03. At random, the taken part turned out to be benign. What is the probability that it is made in workshop 1?

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

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