Solving problem N4649 Bayesian probability theory

Solving problem N4649 Bayesian probability theory

4649. The enterprise employs two teams of workers: the first produces on average 3/4 of the products with a rejection rate of 4%, the second 1/4 of the products with a rejection rate of 6%. Find the probability that a product taken at random: a) will be defective; b) made by the second team, provided that the product turned out to be defective.

Additional information:

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