A random variable is a function that assigns a real number to ________.
A)each event in a sample space
B)each outcome within a sample space
C)each experiment in a sample space
D)each sample space within the universe

Question

Quizplus · Accepted Answer

A random variable is a function that maps each outcome in a given sample space to a real number. Therefore, option B is the correct choice as it correctly describes the assignment of a real number to each outcome in a sample space. Option A is incorrect as a random variable does not necessarily assign a real number to each event in a sample space, but only to each outcome. Option C is incorrect as a sample space is a collection of all possible outcomes for an experiment, and not an experiment itself. Option D is also incorrect as a random variable does not assign a real number to a sample space, but rather to each outcome within the sample space.

A Random Variable Is a Function That Assigns a Real