For the questions below, you will need to use Maple syntax for expressions involving π : for π write Pi, for 2π(n−π)​ wr

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For the questions below, you will need to use Maple syntax for expressions involving π : for π write Pi, for 2π(n−π)​ write Pi∗(n−Pi)/2 Consider a random sample of size n, from which we wish to estimate the true proportion of successes π using the following estimator: P=n4Y​ where Y is the number of "successes" in the sample. a) Is this estimator of π biased? Yes, it is biased. No, it is unbiased. b) Is this estimator of π consistent? Yes, it is consistent. No, it is not consistent. c) Find the mean of P^ E(P^)= Q d) Find the variance of P^ Var(P^)= 眴