(Use the below information for question 7 and 8) Let X1, X2,..., Xn~ iid X, where X is a random variable with density function Se-(²-0), x>0, 10, fx(x) = otherwise. 7) The mean of the distribution is 0 + 1. Find the estimator of using method of moments. X₁ + X₂+...+ Xn n X₁ + X₂ + ... + Xn n n X₁ + X₂ + ... + Xn-n n 1 n − X₁ + X₂ + ... + Xn 8) Is the method of moments estimator unbiased? [1 mark]