Question 1028112
{{{E(X) = 0*(3/17) + 1*(5/17) + 2*(6/17) + 3*(2/17) + 4*(1/17) = 5/17 + 12/17 + 6/17 + 4/17  =27/17}}}, approximately 1.6.

{{{E(X^2) = 0*(3/17) + 1*(5/17) + 4*(6/17) + 9*(2/17) + 16*(1/17) = 5/17 + 24/17 + 18/17 + 16/17  = 63/17}}}, approximately 3.7.

==> {{{Var(X) = E(X^2) - (E(X))^2 = 63/17 - (27/17)^2 = 342/289}}}

==> {{{SD = sqrt(Var(X)) = sqrt(342/289) = (3sqrt(38))/17}}}, approximately 1.09.