Question

350 people are chosen at random from a large population, which is over 50% female. how likely is it that the sample includes 102 women or fewer

Answer 1

The use of the binomial theorem is required for this problem:Which is: nCr* (p)^r (q)^n-r where:probability of getting a woman is 1/2 n = 350 r = 102
= 350 C 102 * (1/2) ^ 350= 2475152581351522694370524455247900818066887962003021990338361512458708733778774038531253000 *1/2 ^350= 1.2375763e90 ^ 350= 1.0792E^-15