Carpet a Store Selling Carpet Tracks the Amount of Square

Essay

Carpet A store selling carpet tracks the amount of square footage sold to its customers, rounding to the nearest 500 sq. ft. Here is the distribution.

$\begin{array}{|l|l|l|l|l|}\hline\text { area} & 500 \text {sq. ft. }& 1000\text { sq. ft. }& 1500\text { sq. ft.} & 2000+ \text {sq. ft.} \\\hline \text {probability} & 0.10 & 0.25 & 0.45 & 0.20 \\\hline\end{array}$


a. What is the average expected area sold?
b. If the average cost of carpet sold is $3/sq. ft., what is the average sale price per customer?
c. If a salesman completes sales to five customers one day, what do you expect his total sales to be?