Assume that male and female births are equally likely and th

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probabilty of at least 6 boys in ten births.

Please show all work step by step and clearly. Thanks!

Solution

Binomial Distribution P(X = r) = _nC_r p^r (1-p)^n-r

^{N = 10}

^{R = 6}

p=0.50

^{P(x) = 20.507%}