Solution of problem N1200 Laplace probability theory

Solution of problem N1200 Laplace probability theory

1200. Assuming the probability of a girl´s birth of 0.49, find: a) the most probable number of girls among 204 newborns and calculate the probability corresponding to this number; b) the probability that among the 204 newborn girls there will be at least 80 and not more than 90; c) the relative frequency of the birth of girls among 204 newborns, deviates from the probability of a girl´s birth by no more than 0.02 (in absolute value).

Additional information:

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