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Carpet a Store Selling Carpet Tracks the Amount of Square

Question 554

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.  area 500 sq. ft. 1000 sq. ft. 1500 sq. ft. 2000+ sq. ft.  probability 0.100.250.450.20\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?

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a. 1375 sq...

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