Here Is the Distribution of Workers a Restaurant Keeps on Staff

Multiple Choice

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

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

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)

A) 37.2, 2.24
B) 37.2, 6.34
C) none of these
D) 36, 8.88
E) 36, 3.14