A privately owned liquor store operates both a drive-in facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive- in and walk-in facilities are in use, and suppose that the joint density function of these variables is; f(x, y) = 0, (x + 2y), 0 < x < 1,0 sys1, elsewhere. A. Find the marginal density of X. B. Find the marginal density of Y. C. Find the probability that the drive-in facility is busy less than one-half of the time.

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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.