Question

Mr. And Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.14. If they have seven children, what is the probability that at most two of their seven children will have that trait? Round your answer to the nearest thousandth.

Answer 1

0.938

Explanation:

From the question :

p = 0.14

Number of children, n = 7

P(x ≤ 2) = P(2) + P(1) + P(0)

Using binomial probability :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

We could also use the binomial probability calculator :

P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936

P(x ≤ 2) = 0.938