5) Consider the population described by the probability distribution below. ( 30 points) a. Find and sigma square. b. Find the sampling distribution of the sample mean x for a random sample of n=2 measurements from the distribution. Show that x is an unbiased estimator of . c. Find the sampling distribution of the sample variance s2 for a random sample of n=2 measurements from the distribution. Show that s 2 is an unbiased escimator of sigma square