Solution of problem N720 Laplace probability theory

Solution of problem N720 Laplace probability theory

720. The probability of occurrence of event A in each of the 150 independent trials is 0.6. Required:
1) using the local Laplace theorem, to find the probability that in these tests event A appears exactly 84 times;
2) using the Laplace integral theorem, to find the probability that in these trials event A will appear at least 90 and not more than 105 times.

Additional information:

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