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Error in the problem solution.
In the family in total will be 8 people including parents. Assuming one parent is male and another is female, we get update on the proportion of boys:girls among that family's childrens, because overall weighted proportion (including 1:1 for parents and some x:y for children) should match 1.09:1. So basically x:y proportion for children should be changed and we should get another answer (different from correct one in the submission).
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Binomial Distribution #2
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Error in the problem solution. In the family in total will be 8 people including parents. Assuming one parent is male and another is female, we get update on the proportion of boys:girls among that family's childrens, because overall weighted proportion (including 1:1 for parents and some x:y for children) should match 1.09:1. So basically x:y proportion for children should be changed and we should get another answer (different from correct one in the submission).