What properties need to be satisfied in order for a table/function to be considered a valid probability distribution?
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.
Number 1
Probability distribution arise when we need to quantify uncertainty associated with several events of interest.
Probabilities have origin from the percentage point of view, suppose we are concerned about rainfall in a certain region, and we want to know what percentage of times, the rainfall will occur in a year.
And then, we can answer what should be the probability that it will rain today.
So, due to the interpretation of probability in real life scenarios, we formulate probability as non-negative values.
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