Random Variables and Univariate Probability Distributions Random Variables Random Variables Definition 1(3.1).[Random Variable] A random variable,X(),is a B-measurable mapping (or point function)from the sample space S to the real line R such that for each outcome s e S,there exists a corresponding unique real number,X(s).The collection of all possible values that the random variable X can take,also called the range of X(), constitutes a new sample space,denoted as Remark: X:S-need not be a 1-1 mapping.It is possible that X(s1)=X(s2) Random Variables and Univariate Probability Distributions Introduction to Statistics and Econometrics May23,2019 4/287Random Variables and Univariate Probability Distributions Random Variables and Univariate Probability Distributions Introduction to Statistics and Econometrics May 23, 2019 4/287 Definition 1 (3.1). [Random Variable] Random Variables Random Variables Remark: