How do you find a joint and marginal probability?
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.
How do you find a joint and marginal probability?
Given a set of marginal distributions, we cannot find the joint distribution unless the random variables are independent. By this, we mean, that given marginals, there is no unique way to come up with a joint distribution (if we do not assume independence).
But, for given joint distributions, we can always have a unique marginal distribution.
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