OF RANDOM VARIABLES

is a random variable whose domain is S and range is {−1, 1}. Example B: Let the set of all real numbers between 0 and 1 be the sample space, S. The function X(s) = 2s− 1 is a random variable whose domain is S and range is set of all real numbers between −1 and 1. A discrete random variable is one whose range is a countable set. The random variable defined in example A is a discrete randowm variable. A continuous random variable is one whose range is not a countable set. The random variable defined in Example B is a continiuos random varible. A mixed random variable contains aspects of both these types. For example, let the set of all real numbers between 0 and 1 be the sample space, S. The function