Question

A study determined that % of children under 10 years old lived with their father only. Find the probability that exactly 2 children solactod at random from 12 children under10 years old lived with their father onlyThe probabilty that exactly 2 of the 12 children under 10 years old lived with their other only 15 )(Do not round until the final answer Thon round to the nearest thousandth as needed)

Answer 1

Given:

The number of children =12

Probability that children under 10 years old lived with their father only is 4%.

It follows the binomial distribution,

`\begin{gathered} X\rightarrow B(N=12,P=0.04) \\ P(X=x)=^NC_xP^x(1-P)^(N-x) \\ P(X=2)=^(12)C_2P(0.04)^2(1-0.04)^(12-2) \end{gathered}`