In a certain country, the probability that a baby that is born is a boy is 0.52 and the probability that a baby that is born is a girl is 0.48. A family has two children. If X is the number of girls born to a family, find the probability that the family has 0, 1, or 2 girls.

Respuesta :

Given:

The probability that a baby that is born is a boy is

[tex]0.52[/tex]

And the probability that a baby that is born is a girl is

[tex]0.48[/tex]

Required:

We have to find the probability that the family has 0, 1, or 2 girls.

Explanation:

Let B denote the event that a baby that is born is a boy and G denote the event that a baby that is born is a girl.

The given that

[tex]\text{ P\lparen B\rparen}=0.52\text{ and P\lparen G\rparen}=0.48[/tex]

We solve this problem by using the formula of the binomial distribution.

The probabilty of