Question

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.

Answer 1

Given:

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`

Required:

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

Step-by-step 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

`\text{ P\lparen B\rparen}=0.52\text{ and P\lparen G\rparen}=0.48`

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

The probabilty of