Решение задачи N1724 теория вероятностей Пуассона

1724. In the regional olympiad in mathematics n = 100 students take part. The probability that each applicant will answer all questions of the Olympiad is p = 0.05. What is the probability that exactly 3 students will pass this stage of the Olympiad, answering all the questions?

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