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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)

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 chil class=

Respuesta :

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,

[tex]\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}[/tex]