Solution of problem N3676 Laplace probability theory

Solution of problem N3676 Laplace probability theory

3676. Among the products manufactured on this machine, the marriage is 2%. How many products need to be taken so that with a probability of 0.995 one could expect that the relative frequency of defective products among them differs from 0.02 in absolute value by no more than 0.005?

Additional information:

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