A Police Department Reports That the Probabilities That 0, 1 $\sigma = 0.55$

Multiple Choice

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.38, 0.10, and 0.02, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.

A) $\sigma = 0.55$
B) $\sigma = 1.02$
C) $\sigma = 0.74$
D) $\sigma = 0.98$