Chapter 6.1, Problem 12E

To determine

To find: The mean of the random variable X and interpret it

Answer to Problem 12E

The mean is 2.68.

Explanation of Solution

Given:

The probability distribution is:

Value of X	0	1	2	3	4	5
Probability	0.03	0.16	0.30	0.23	0.17	0.11

Formula used:

The formula to compute the mean is:

  $\text{Mean =}{\displaystyle \sum x\times P\left(x\right)}$

Calculation:

The mean can be calculated as:

  $\begin{array}{c}\text{Mean =}{\displaystyle \sum x\times P\left(x\right)}\\ =0\left(0.03\right)+1\left(0.16\right)+2\left(0.30\right)+4\left(0.17\right)+5\left(0.11\right)\\ =2.68\end{array}$

Interpretation:

The expected number of toys with which boys played are 2.67.