Problem 3. Consider two estimators of p; in N01, 1) based on 10 samples 11 =0 and ng. Note that {11 does not use the data and fig is the MLE of p. (a). Compute the bias, variance and MSE of {321. (b). Suppose the true value of a is 0.1. Which estimator has a smaller MSE? Now if we can increase the sample size to 500 by doing more experiments, which estimator has a smaller MSE? (c). Repeat (b) if the true value of p, is 0.5