Suppose X follows a binomial distribution with parameters n and p. Let Y = n − X. Show that Y is a binomial distribution with parameters n and 1−p. (To help think about it, think of X as the number of successes and Y is the number of failures.)
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.
Suppose X follows a binomial distribution with parameters n and p. Let Y = n − X. Show that Y is a binomial distribution with parameters n and 1−p. (To help think about it, think
of X as the number of successes and Y is the number of failures.)
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