A family has children until it has a girl or until it has 2 children, whichever comes first. Assume that each child is independently a girl or a boy with equal probability Find the expected number of boys and the expected number of girls in this family.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A family has children until it has a girl or until it has 2 children, whichever comes first. Assume that each child is independently a girl or a boy with equal probability
Find the expected number of boys and the expected number of girls in this family.
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