3. A corporation produces packages of paper clips. The number of clips per package varies as indicated in the table below: \begin{tabular}{|l|l|l|l|l|l|l|} \hline Number of Clips, X & 47 & 48 & 49 & 50 & 51 & 52 \\ \hline Proportion of Packages & \( 0.04 \) & \( 0.13 \) & \( 0.21 \) & \( 0.29 \) & \( 0.20 \) & \( 0.10 \) \\ \hline \end{tabular} The cost (in cents) of producing a package of clips is \( 16+2 X \), where \( X \) is the number of clips in the package. The revenue from selling a package, however many clips it contains, is \( \$ 1.5 \). If profit is defined as "the difference between revenue and cost", find the mean and standard deviation of profit per package. (Note that \( 1 \$=100 \) cents)
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This can be done by subtracting the cost per package from the selling price per package. Show more…
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