SECTION A QUESTIONS 4" Suppose a sample Y1, m, 1" is selected from an exponential distribution with E (K) = I? and V (K) = :92. Let g be an estimator of the mean, 3. 1. Explain What a parameter is. What is the parameter of interest in this case? 2. Name the properties of a good estimator and explain, shortly, what is meant by sash. {a} (b) 3. Given the properties you discussed in (:2) and the parameter of interest identied in (I), what estimator would you propose? 4. \"that would the sampling distribution of this estimator he? \"'hy? SECTION B QUESTIONSM The farmers\" association of the Amatole region in the Eastern Cape wants to report on the average milk production in this region. It has been shown that the milk production in this region is normally distributed with mean p and variance 02. Suppose a random sample of farms,Yl, 352,?31 '1'; is taken from the region. Consider the following estimators of I9: fl] = l7 and {52 2 21312HK 1. Identify the parameter of interest. 2. You have been presented with two estimators of the parameter of interest. (a) Find the expected 1.ralue of each of the estimators. {b} Find the variance of each of the estimators. (c) Based on your calculations in (a) and (b), which estimator would you choose and why