Why did you round to two decimal places? Losing accuracy should be deliberate. I do hope you did that on purpose.

You simply MUST get these basic ideas in your head. Calculating the first two moments of a distribution should be concepts and practices that you keep in your back pocket. Take them out and put them on your nightstand while sleeping. Make them your friends.

There are three pieces:

a = First Moment = Mean =

b = Second Moment =

Variance =

First Moment = Mean = 0*0.08 + 1*0.17 + 2*0.25 + 3*0.19 + 4*0.18 + 5*0.13

Second Moment = 0*0.08 + 1*0.17 + 4*0.25 + 9*0.19 + 16*0.18 + 25*0.13

You do the arithmetic and calculate the Variance.