Chapter 6.1, Problem 2.1CYU

To determine

To find: The value of the mean and interpret it.

Answer to Problem 2.1CYU

The mean of X is 8.128.

Explanation of Solution

Given:

From example, the probability distribution is:

X	0	1	2	3	4	5	6	7	8	10
P(X)	0.001	0.006	0.007	0.008	0.012	0.02	0.038	0.099	0.319	0.053

Formula used:

The formulas to compute the mean is:

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

Calculation:

The mean can be calculated as:

  $\begin{array}{c}\text{Mean =}{\displaystyle \sum x\times P\left(x\right)}\\ =0\left(0.001\right)+1\left(0.006\right)+\mathrm{....}+10\left(0.053\right)\\ =0+0.006+\mathrm{.....}+0.53\\ =8.128\end{array}$

Thus, the mean is 8.128

The Apgar score of a randomly selected baby after one minute is expected to be 8.128