Solution of problem N742 Laplace probability theory

Solution of problem N742 Laplace probability theory

742. A series of n = 200 independent tests is performed, in each of which the probability of the event A is p = 0.9.
Find the probability that the number of occurrences of events for A
a) exactly 100
b) not more than 185;
c) from 100 to 185 inclusive.

Additional information:

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