Solution of problem N3760 probability theory total prob

Solution of problem N3760 probability theory total prob

3760. The assembly workshop receives parts from three production lines. The performance of these lines are 5: 3: 2. The probability of marriage for the 1st line is 0.01; for the 2nd line - 0.02; for the 3rd line - 0.03. Find the probability that a part taken at random is defective.

Additional information:

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