Question

In a family with 6 children, let success be defined as having a baby girl, and find the probability that:

(A) the first girl is the first child born.
(B) the first girl is the 2nd or the 4th child born.

(C) the first girl is the last child born.
(D) there are no girls born into this family.

Is it possible if you could write down each equation used next to each step? Its helpful for me to see what is being used and why. Also if this type of question a binomial, geometric, hypergeometric, Poisson, normal, or a standard normal?

Answer 1

A p (x=1) = (0.5) 10.5) on :- Since we are so use we will s looking for first success trials are independent & independent & probability Success is fixed Geometric distribution Xn Geometric P(x) =qX-7 p (girl) (F. p=0.5 121 4-1 2-) tuodling anh B) P(x=200 4) P(x=2) + P(x = 4) = (0.5) 10.5 +10.5 10.5) 7 d.16X867) ton 0.3125 6-) C) P(x=6) = (0.5) 10.5) = 0.0156 6 DJ P/ No girl) P (all boy) = (0.5) 0.0156