Based on historical data kept by a business school, the probability distribution for students who have been found in violation of academic integrity in the core accounting class each semester is given below.  Let x = number of students found in violation of academic integrity in a semester in the core accounting class.                                                         x Prob(x)                                                                     0 0.6                                 1 0.08                                 2 0.07                                 3 0.04                                 4 0.106                                 5 0.104                                                                                                         (a) Is this a valid probability distribution? Justify briefly.                                                                                                                                                                                                           (b) What is the expected value of the number of students found to be in violation of academic integrity in the core accounting class                                                                                                                                                                                                                               (c) What is the standard deviation of the number of students found to be in violation of academic integrity in the core accounting class?

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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.