In: Statistics and Probability
A woman plans to bear three children. The probability of having
a boy is 50%. Out of the three childer she bears, determine:
a) Mean number of boys (using the formula) (Ans: 1.5)
b) Standard Deviation of the number of boys (using the formula)
(Ans: 0.866)
c) Sketch the density function of the number of boys and comment on
whether the mean and standard deviation in parts a and b are
plausible. (Ans: P={0.125 0.375 0.375 0.125} for 0, 1, 2, and 3
respectively)
d) Sketch the distribution function of the number of boys.