Solution of problem N3765 probability theory total prob

Solution of problem N3765 probability theory total prob

3765. From the first machine to the assembly receives 40% of parts, the remaining 60% from the second. The probability of manufacturing a defective part for the first and second machines is respectively 0.01 and 0.04. Find the probability that the item received at the assembly at random will be defective.

Additional information:

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