Question

In the United States, 51% of all birthings are boys, and 49% are girls. Use the binomial model to find the probability that 6 out of 10 birthings at a hospital are boys.

Answer 1

P(X = 6) = C(10,6) (0.51)^6 (0.49)^4
= 210 × (0.51)^6 × (0.49)^4 ≈ 0.213.

So the probability is approximately 0.213 (about 21.3%).