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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).

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  1. 30 March, 15:41
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    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
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