Say we have a random variable X which is distributed like such: X ~ N(1, 4).
A question asks me to calculate $E(X^2)$, which I thought would be straight forward. I use the formula for Variance: $Var(X) = E(X^2) - E(X)^2$. I plug in the values of $\sigma^2 = 16$ and $\mu = 1$ and achieve an answer of 17. The correct answer is given as 5 although. Why am I wrong here? Am I missing something incredibly simple? Thank you in advance