The table below shows the discrete probability distribution of the possible cash prizes available to players of a new game, with all of the corresponding probabilities.

X

P(X)

0

0.650

5

0.250

10

0.099

1000

0.001

Which of the following is the value of the standard deviation of the cash prize per game, given that the expected value is $3.24.

31.71

1,005.65

3.24

1,016.15

10.50