Solution of problem N3655 probability theory total prob

Solution of problem N3655 probability theory total prob

3655. From the first automatic machine, 15% of parts go to the assembly conveyor, from the second and third to 34% and 51%, respectively. The probabilities of issuing defective parts are for each of them, respectively, 0.3%, 0.35% and 0.05%. Find the probability that the part received for assembly will be defective.

Additional information:

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