Problem 5 (20 points, 10 points each). Explain how you estimate A and v2: a. Suppose X has a Poisson distribution with parameter A. Explain how you estimate ) by using first moment and then by using second moment. Are they the same? b. Let {Y1, Y2, ..., Yn} denote an i.i.d. sample from a population with a F(v1, v2) distribution where v1 and 12 are the numerator and denominator degrees of freedom, respectively. If E(Yi) = V2/(v2 - 2). Derive an estimator of 12 using the method of moments