Solution of problem N3730 probability theory total prob

Solution of problem N3730 probability theory total prob

3730. Three machines stamp the same type of parts. The first produces 45% of all parts, the second - 35%, the third - 20%. In addition, each of the machines stamps non-standard parts on average, respectively, 2.5%; 2%; 1.5%. Find the probability that the item taken from the warehouse is standard.

Additional information:

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