On one side are the two parts of the definition of a function f: X -> Y, the definition of one-to-one and onto, and the contrapositive form of the definition of one-to-one. Match each to the correct term. For all x in Xand for all c, d in Y, if f(x) = c and f(x) = d, then c = d. %3D For all a, b in X, if f(a) = f(b), then a = b. 1. fis a function %3D 2. fis one-to-one (injective) For all a, b in X, if a # b, then f(a) # f(b). 3. fis onto (surjective) For all y in Y, there exists x in X such that f(x) = y. For all x in X, there exists y in Ysuch that f(x) = y. %3D > > >

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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.