Solution of problem N3754 probability theory total prob

Solution of problem N3754 probability theory total prob

3754. From the first machine to the assembly receives 40% of all parts, from the second 30%, the remaining parts from the third machine. The probability of manufacturing a defective part for a machine is respectively 0.1; 0.03; 0.05. Find the probability that the item received at the assembly at random is defective.

Additional information:

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