Random Vector/Examples

Examples of Random Vectors

Throwing a $6$-sided Die $4$ Times

Let $\EE$ be the experiment of throwing a standard $6$-sided die $4$ times.

Then the outcome of $\EE$ can be expressed as a random vector $\tuple {x_1, x_2, x_3, x_4}$, where each $x_i$ is uniformly distributed over the sample space $\set {1, 2, 3, 4, 5, 6}$.

If $\EE$ is performed with the results $5$, $2$, $5$ and $6$, then the outcome would be reported as $\tuple {5, 2, 5, 6}$.