Helpp pls Let x denote the number of broken pencils in a randomly selected 50-count box from a local office supply store. The variable x has the following probability distribution:

x01234
P(X)0.520.350.10.020.01
Calculate and interpret σx. (4 points)

A-0.82; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.82 from the mean

B-0.31; if we were to select many boxes of pencils randomly, we would expect about 0.31, on average, to contain broken pencils

C-0.65; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.65 from the mean

D-0.52; if we were to select many boxes of pencils randomly, we would expect about 0.52 to have no broken pencils

E-0.13; if we were to select many boxes of pencils randomly, we would expect about 0.13, on average, to contain broken pencils