Question

Skee Ball Refer to Exercise 4. Find the mean of X. Interpret this value.

Short answer

$\mu =23.8$

Step-by-step solution

Step 1. Given information.

Score	10	20	30	40	50
Probability	0.32	0.27	0.19	0.15	0.07

Step 2. The mean of X. 

The expected value (or mean) is the sum of the product of each possibility r with its probability P(X= x):

$$\begin{gathered} \mu =\Sigma xP(X=x)=10x0.32+20x0.27+30x0.19+40x0.15+50x0.07 \\ \mu =23.8 \end{gathered}$$

On average, the score on a randomly selected roll of the ball is 23.8.