Solution of problem N3692 probability theory total prob

Solution of problem N3692 probability theory total prob

3692. Two machines produce parts that are fed to a common conveyor. The probability of obtaining non-standard parts on the first machine is 0.05, and on the second - 0.07. The performance of the first machine is twice that of the second. Find the probability that at random taken from the conveyor - is standard.

Additional information:

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