Solution of problem N1258 Laplace probability theory

Solution of problem N1258 Laplace probability theory

1258. The probability that an accidentally taken part will be of the second kind is 3/8. How many details need to be taken so that, with a probability of 0.995, one could expect that the proportion of second-class parts will deviate from the probability by less than 0.001?

Additional information:

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