The number of golf balls ordered by customers of a pro shop has the following probability distribution. $$\begin{array} { r | r | r | r | r | r }
\mathrm { x } & 3 & 6 & 9 & 12 & 15 \
\hline \mathrm { p } ( \mathrm { x } ) & 0.14 & 0.12 & 0.36 & 0.28 & 0.10
\end{array}$$
A)6.57
B)8.28
C)9
D)9.24
E)8.82

Question

The number of golf balls ordered by customers of a pro shop has the following probability distribution. $$\begin{array} { r | r | r | r | r | r } 
\mathrm { x } & 3 & 6 & 9 & 12 & 15 \
\hline \mathrm { p } ( \mathrm { x } ) & 0.14 & 0.12 & 0.36 & 0.28 & 0.10
\end{array}$$
A)6.57
B)8.28
C)9
D)9.24
E)8.82

Quizplus · Accepted Answer

To find the expected value or mean of the probability distribution, we multiply each possible value by its probability and add them up.

(4)(0.1) + (8)(0.2) + (10)(0.35) + (12)(0.25) + (15)(0.1) = 0.4 + 1.6 + 3.5 + 3 + 1.5 = 9.

Therefore, the expected value of the number of golf balls ordered is 9. Among the choices given, the closest to 9 is 9.24, so the best choice is D).

The Number of Golf Balls Ordered by Customers of a Pro