Question

3. Let X denote the number of boys in a randomly selected three-child family. Assuming that boys and girls are equally likely, construct the probability distribution of X.

Answer 1

Answer:

Given that:

Let X denote the number of boys in a randomly selected three-child family. Assuming that boys and girls are equally likely, construct the probability distribution of X?

Below is probability distribution of X:

P(X=0)=P(All three are girls) =  

(1/2)

P(X=0) =1/8

P(X=0) = 0.125

P(X=1) = ³C_1
(1/2)

P(X=1) =3/8

P(X=1) = 0.375

P(X=2) = ³C₂

(1/2)

P(X=2) = 3/8

P(X=2) = 0.375

P(X=3) =

(1/2)

P(X=3) = 1/8

P(X=3) = 0.125