Question

Choose the correct definition of a random variable from the list below. A random variable is O one whose values describe the outcome of some chance process O one whose effect in an experiment cannot be distinguished from the effects of other variables. one that occurs in one of two possible states, labeled success and failure. O one that remains constant throughout an experiment one whose values correspond to a scale with a countable number of values.

Answer 1

“A random variable is one whose values describe the outcome of some chance process”

Explanation:

Roughly speaking, a random variable is a function whose values depend on outcomes of a random phenomenon.

The phenomenon could be an experiment created by human beings, a natural process or any other kind of event that produces results that cannot be foreseen with a deterministic model like a differential equation or formula of any kind.

The random variable must also be a measurable function.

Since its value cannot be predicted in a deterministic way, we usually approximate its possible values with probabilistic measures.

So, from the possible choices of answer, the one that fits the best is

“A random variable is one whose values describe the outcome of some chance process”