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Here Is the Distribution of Workers a Restaurant Keeps on Staff

question 67

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Here is the distribution of workers a restaurant keeps on staff during a 1-hour shift.

probability0.100.250.550.10 # of workers3456\begin{array}{|l|l|l|l|l|}\hline \text {probability} & 0.10 & 0.25 & 0.55 & 0.10 \\\hline \text { \# of workers} & 3 & 4 & 5 & 6 \\\hline\end{array}

If the restaurant is open for 8 hours each day, what are the mean and standard deviation for the total number of workers in a day, respectively? (assume that the each hour is independent)


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