PLEASE TYPE

|1 9.1. Estimate the unknown parameter 0 from a sample 3, 3, 3, 3, 3, 7,7, 7 drawn from a discrete distribution with the probability mass function P(3) = 9 P(7) - 10' Compute two estimators of a (a) the method of moments estimator; (b) the maximum likelihood estimator. Also. (c) Estimate the standard error of each estimator of 0. 9.2. The number of times a computer code is executed until it runs Without errors has a Geometric distribution with unhiown parameter 3). For 5 independent computer projects. a student records the following numbers of runs: 37532 Estimate 9 (a) by the method of moments: (b) by the method of maximum likelihood. 9.3. Use method of moments and method of mmdmum likelihood to estimate (:1) parameters a and b if a sample from Uniform(a. b) distribution is observed: (b) parameter A if a. sample from EocponentialH) distribution is observed; (c) parameter y if a. sample from NormalLu, a) distribution is observed. and we already know at