The sample variance is given by the formula: S^2. x = (1/n) "Sum-up1 (x - x). (1) where x; denotes the ith observation in the random sample and x denotes the sample mean, (a) Show that (1) is a biased estimate of the population variance , (b) Construct an unbiased statistic of o and then show that the unbiased statistic is consistent.