PassageConsider a sample of i.i.d. random variables (X1,X2,…,Xn)(X_1,X_2,\ldots,X_n), where each XiX_i follows Uniform(−0.5,0.5)(-0.5,0.5). Based on the above data, answer the given subquestions.
QuestionCompute the expected value and variance of the sample mean Xˉ=X1+⋯+Xnn\bar X=\frac{X_1+\cdots+X_n}{n}.