Solution of problem N1804 Laplace probability theory

Solution of problem N1804 Laplace probability theory

1804. Based on the results of inspections by tax inspectors, it is established that in the city of N, on average, 25% of small businesses violate financial discipline. What is the probability that of the two hundred small enterprises of the city, N violations of financial discipline will have at least 45, but not more than 65 small enterprises?

Additional information:

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