Given the following discrete probability distribution, XP(x) 42 0.375 65 0.15 70 0.225 75 0.05 90 0.2 (а). (b). Calculate the variance of x. (c) Calculate the standard deviation of x Calculate the expected (average) value of x.

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A: According our policy we can answer only first question for remaining please repost the question.

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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.