Solution of problem N3894 probability theory total prob

Solution of problem N3894 probability theory total prob

3894. Two machines produce parts that are fed to a common conveyor. The probability of obtaining a non-standard part on the first machine is equal to 0.076, and on the second - 0.09. The performance of the second machine is twice that of the first. What is the probability that at random a part taken from a conveyor is non-standard?

Additional information:

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