Here is the distribution of workers a restaurant keeps on staff during a 1-hour shift.
-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) 36, 3.14
C) 36, 8.88
D) none of these
E) 37.2, 6.34

Question

Here is the distribution of workers a restaurant keeps on staff during a 1-hour shift. 
-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) 36, 3.14 
C) 36, 8.88 
D) none of these 
E) 37.2, 6.34

Quizplus · Accepted Answer

The mean number of workers per hour is 4.65, so for 8 hours, the mean is 4.65 * 8 = 37.2. The standard deviation for one hour is 0.8, so for 8 independent hours, the standard deviation is sqrt(8) * 0.8 = 2.24.

Here Is the Distribution of Workers a Restaurant Keeps on Staff