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

(a) Draw a treediagram showing the possibilities for each outcome.

(b) Create thebinomial distribution table for P (X).

Question

Mathematics

Kinsley

30 March, 12:47

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

(a) Draw a treediagram showing the possibilities for each outcome.

(b) Create thebinomial distribution table for P (X).

+2

Answers (1)

Know the Answer?

Jay Reid · Answer 1

A)

BB (0.52) (0.52) = 0.2704

BG (0.52) (0.48) = 0.2496

GB 0.2496

GG (0.48) (0.48) = 0.2304

c)

Number of girls born:

x P (x)

0 0.2704

1 0.4992

2 0.2304