Solution of problem N3631 probability theory total prob

Solution of problem N3631 probability theory total prob

3631. The assembly receives parts from three machines. The first gives 20%, the second 30% and the third 50% of the parts of this type entering the assembly. The first automatic machine allows 0.2% of parts rejection, the second - 0.3%, the third - 0.5%. Natey the probability that taken at random detail is standard.

Additional information:

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