Solution of problem N1245 Laplace probability theory

Solution of problem N1245 Laplace probability theory

1245. The election of a candidate for mayor is supported by 40% of the population. In the opinion poll, 1,000 people were selected. How likely is it to state that the proportion of voters from this sample supporting the candidate differs from the true share by no more than 0.05?

Additional information:

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