<s>[INST] Let \(X_1\) and \(X_2\) be independent and identically distributed (i.i.d.) random variables such that \(E[X_1] = E[X_2] = \mu\) and \(\text{Var}[X_1] = \text{Var}[X_2] = \sigma^2\).

Consider the new variable \(Y = X_1 + X_2\). What is the variance of \(Y\)?[/INST]