Solution of problem N4108 probability theory total prob

Solution of problem N4108 probability theory total prob

4108. There are 1,400 lamps, 500 belong to the first batch, 400 to the second batch, 500 to the third batch. In the first batch of 2%, in the second - 3%, in the third - 4% of defective lamps. One lamp is selected at random. Determine the probability that the selected lamp is defective.

Additional information:

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