Five brothers and their wives decide to have children until each family has two female children. (a) What is the pmf of X = the total number of male children born to the brothers? (Enter combinations using the formula (n choose r).) (b) What is E(X)? (c) How does it compare to the expected number of male children born to each brother?
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.
Five brothers and their wives decide to have children until each family has two female children.
(a) What is the pmf of X = the total number of male children born to the brothers? (Enter combinations using the formula (n choose r).)
(b) What is E(X)?
(c) How does it compare to the expected number of male children born to each brother?
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