answer all questions with explanation

a) A population of known size /V contains an unknown number G of good elements. Let X be the number of good elements in a simple random sample of size n drawn from this population. Use X to construct an unbiased estimator of G b) Would your answer to Part a have been different if X had been the number of good elements in a random sample drawn with replacement from the population? Why or why not? c) A flattened die lands 1 and 6 with chance p/2 each, and the other faces 2, 3, 4, and 5 with chance (1 - p)/4 each. Here p E (0, 1) is an unknown number. Let X1, X2, ..., X,, be the results of n rolls of this die. First find E(| X, - 3.5)), and use the answer to construct an unbiased estimator of p based on all of X1 , X2, ..., X