Is it true that the set of all possible values of a random variable form the sample space?

I think it is false because it is all possible outcomes that form the same space but I wanted to clarify this.

  • 1
    $\begingroup$ No, the sample space is where eat a random variable, not the value it takes. $\endgroup$ – user657324 Apr 9 '19 at 8:19

The sample space is the set of all possible outcomes. For example, if we are flipping a coin the sample space is $\{H, T\}$ where $H$ is heads and $T$ is tails. A random variable is a function from the sample space to the real numbers. For example, we could define the random variable $X$ such that $X(H) = 0$ and $X(T) = 1$. Note there are infinitely many ways that we can make random variables.

| cite | improve this answer | |

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.