Solution of problem N3678 Laplace probability theory

Solution of problem N3678 Laplace probability theory

3678. Among the products manufactured at this enterprise, the marriage is 1.5%. How many items need to be taken so that with a probability of 0.995 one could expect that the frequency of defective items among them differs from the probability in absolute value by no more than 0.05?

Additional information:

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