Problem 4. (No credit will be given if you do not show your work. Points will be deducted if you do not clearly define all your variables and events. Lastly, you will also be graded on neatness.) Part A) Let Y₁, Y2,..., Yn be a random sample from a population with probability mass function of the form P, if y = 1, p(Y = y) = 1-P, if y = 0, 0, O.W., where 0 < p < 1. Using Definition 9.3, answer the following question. Is = Y₁+Y/₂ + 1/3 a sufficient estimator of p. [5 Points]. Part B) Let Y₁, Y2,..., Yn be a random sample from a population with probability mass function of the form 0(1-0)-¹, if y=1,2,..., p (Y = y) = 0, O.W., where 0 << [infinity]o. Estimate using the method of moment [2.5 points] and using the method of maximum likelihood estimation. [2.5 Points] 2