Suppose that p = P(male birth) = 0.5. A couple wishes to have exactly two female children in their family. They will have children until this condition is fulfilled. a) What is the probability that this family has exactly three children? b) How many children would you expect this family to have?
Added by Juan G.
Step 1
Given that r = 2 and p = 0.5, we can plug these values into the formula: \[ P(X = 3) = \binom{3-1}{2-1} \times (0.5)^2 \times (1-0.5)^{3-2} \] Show more…
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