A survey of 61 customers was taken at a bookstore regarding the types of books purchased. The survey found that 36 customers purchased mysteries​, 29 purchased science fiction​, 20 purchased romance novels​, 15 purchased mysteries and science fiction​, 11 purchased mysteries and romance novels​, 8 purchased science fiction and romance novels​, and 4 purchased all three types of books.   ​a) How many of the customers surveyed purchased only romance novels​? ​b) How many purchased mysteries and science fiction​, but not romance novels​? ​c) How many purchased mysteries or science fiction​? ​d) How many purchased mysteries or science fiction​, but not romance novels​? ​e) How many purchased exactly two types of​ books?

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A: This question is about set theory

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.