In: Statistics and Probability
Suppose that you visit the nursery at Cox South and discover that it contains 21 babies. If none of them are identical siblings, then what is the probability that these 21 babies consist of 11 boys and 10 girls? *Show complete solution using binomial distribution. Explain every part of the solution.
Binomial Distribution
n = 21
p = Probability of a boy = 0.5
q = Probability of a girl = 0.5
(1)
(2)
(3)
(4)
Substituting (2), (3) and (4), equation (1) becomes:
So,
Answer is:
0.1682