Solution of problem N3925 probability theory total prob

Solution of problem N3925 probability theory total prob

3925. Two plants produce the same type of products. The productivity of the first plant is 20% higher than the productivity of the second. The reject rate in the production of the first plant is 3%, for the second 1%. One product is selected at random from the total output. Find the probability that it will not be defective.

Additional information:

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