A class in statistics contains 10 students. Among these students, 8 of them are 21 years old; 1 of them is 19 years old and the remaining student is 23 years old. Suppose that two students are selected at random without replacement from this class. Let X be a random variable that represents the sum of the ages of the selected students. a) Find the cumulative distribution function of X, F(x). b) Find the expected value and the variance of X

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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.