Chapter 8.1, Problem 8.6E

To determine

To find the expected value of T and interpret the results.

Answer to Problem 8.6E

  $7$

Explanation of Solution

The expected value is as:

  $\begin{array}{l}E(T)=2\times 0.0278+3\times 0.0556+4\times 0.0833+5\times 0.1111+6\times 0.1389+7\times 0.1667\\ +8\times 0.1389+9\times 0.1111+10\times 0.0833+11\times 0.0556+12\times 0.0278\\ \approx 7\end{array}$

On average, the sum of the spots showing on the up faces of the two fair, six sided dice is about $7$ .