Question

Let T be a random variable giving the number of spots that appear on top when a die is rolled. List the elements of the sample space S for the number of spots that appear on top when a die is rolled and assign a value to each sample point. 

Answer 1

The elements of the sample space S for the number of spots that appear on top when the die is rolled is:

$S = \{ 1,2,3,4,5,6\}$

The table for the random variable and its associated value is:

$\begin{matrix} t & 1&2&3&4&5&6\\\hline P(T=t) |& \frac{1}{6}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}& \end{matrix}$

So that:

$\sum P(T=t) = 1$