A family has children with probability qp n , n 1, where (1 -

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A family has children with probability qpn, n ≥ 1, where α ≤ (1 - p)/p.

a. What proportion of families has no children?

b. If each child is equally likely to be a boy or a girl (independently of each other), what proportion of families consists of boys (and any number of girls)?

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