The Table Below Is the Probability Table for a Random

Multiple Choice

The table below is the probability table for a random variable X. Find E(X) , Var(X) , and the standard deviation of X. $$\begin{array} { l | l l l l l } \text { Outcome } & - 2 & - 1 & 0 & 1 & 2 \\\hline \text { Probability } & 0.2 & 0.35 & 0.15 & 0.05 & 0.25\end{array}$$

A) E(X) = -0.2; Var(X) = 2.22; standard deviation of X =1.49
B) E(X) = -0.2; Var(X) = 2.16; standard deviation of X =1.47
C) E(X) = -0.2; Var(X) = 4; standard deviation of X =2
D) E(X) = -0.2; Var(X) = 0; standard deviation of X = 0
E) none of these