QuestionLet X1,X2,…,X100X_1, X_2, \ldots, X_{100} be i.i.d. samples with mean 150150 and variance 100100. Find the mean and variance of Xˉ\bar{X}, where Xˉ=X1+X2+⋯+X100100\bar{X}=\frac{X_1+X_2+\cdots+X_{100}}{100} is the sample mean.
