Please answer as fast as possible. Please answer all parts of the question and round answers to three decimal points. 2) A random sample of 50 is taken from a population with the following...

Extracted text: Please answer as fast as possible. Please answer all parts of the question and round answers to three decimal points. 2) A random sample of 50 is taken from a population with the following distribution: Y Pr (Y) 0.4 0.6 a) An estimator of the mean of the above distribution is specified as: A = Yı + (2/n), where Yı is the value of the first observation in the sample and n is the sample size (equal to 50). Show whether the bias of this estimator is equal to zero (0). b) Use the same probability distribution as given above, show whether the estimator à = Y1 + (2/n) is more efficient than the estimator Y (the sample mean), wheren is equal to 50. c) Show whether the estimator Ã=Y1 + (2/n) is consistent.