After completing an inventory of three warehouses, a golf club shaft manufacturer described its stock of 12,246shafts with the percentages given in the table. Suppose a shaft is selected at random from the 12,246 currentlyin stock, and the warehouse number and type of shaft are observed. Given that the shaft is produced inwarehouse 2, find the probability it has an extra stiff shaft. Round your answer to the nearest thousandth. $\begin{array}{l}
\text { Type of Shaft }\
\begin{array}{lcccc}
\hline & & \text { Regular } & \text { Stiff } & \text { Extra Stiff } \
{\text { Warehouse }} & 1 & 19 \% & 8 \% & 3 \% \
& 2 & 14 \% & 18 \% & 12 \% \
& 3 & 8 \% & 18 \% & 0 \% \
\hline
\end{array}
\end{array}$
A) $0.273$
B) $0.8$
C) $0.255$
D) $0.47$

Question

Quizplus · Accepted Answer

The probability that a randomly selected shaft from warehouse 2 is extra stiff is calculated by dividing the percentage of extra stiff shafts in warehouse 2 by the total percentage of shafts in warehouse 2. For warehouse 2, the percentages are 14% regular, 18% stiff, and 12% extra stiff, totaling 44%. The probability is 12% (extra stiff) divided by 44% (total in warehouse 2), which equals 0.2727, rounded to 0.273.

After Completing an Inventory of Three Warehouses, a Golf Club