A continuous random variable is ________.
A)a variable for which the number of possible outcomes can be counted
B)a variable that has outcomes over one or more intervals of real numbers
C)a characterization of the possible values that a random variable may assume along with the probability of each value
D)a variable for which there is only one possible value

Question

Quizplus · Accepted Answer

A continuous random variable can take on any value within one or more intervals of real numbers, and there are an infinite number of possible values. It cannot be counted like a discrete random variable (Choice A). A probability distribution (Choice C) describes the possible values and their associated probabilities, but does not define the variable itself. A variable with only one possible value (Choice D) is a deterministic variable and not a random variable.

A Continuous Random Variable Is ________