A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on the space on which the wheel stops. Let X be the value of a random spin. The distribution of X is given in the table. A 2-column table with 5 rows. Column 1 is labeled value of a spin with entries 0, 1, 2, 5, 10. Column 2 is labeled probability with entries 0.4, 0.2, 0.2, 0.1, 0.1.

What is the standard deviation of the distribution?

3.01
3.61
9.09
13.04