In a box of gadgets containing 3 Samsung phones, 2 iPhones, and 3 Google Pixel hones, a random sample of 4 phones is selected. If X is the number of Samsung phones nd Y is the number of iPhones in the sample, find a. the joint probability distribution table of X and Y; b. P[(X, Y ) E A), where A is the region that is given by {(x, y) | x + y s 2}. c. fly|x=2) for all values of y (tabulate); d. P(X = 0 | Y = 2).

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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.