Solution of problem N3686 probability theory total prob

Solution of problem N3686 probability theory total prob

3686. Two automatic machines make parts which arrive on the general conveyor. The probability of obtaining a non-standard part on the first machine is 0.07, and on the second - 0.08. The performance of the second machine is three times greater than the first. Find the probability that a piece taken from the conveyor is non-standard.

Additional information:

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