In this exercise, we show through simulation that the median is an unbiased estimator for the population mean when the population is symmetric. a. Use 20 replicates to estimate the expected value of the median of five independent normal random variables with mean 2 and standard deviation 4. Repeat 5 times and write down the 5 values. b. Use 1000 replicates to estimate the expected value of the median of five independent normal random variables with mean 2 and standard deviation 4. Repeat 5 times and write down the 5 values. c. Use 20000 replicates to estimate the expected value of the median of five independent normal random variables with mean 2 and standard deviation 4. Repeat 5 times and write down the 5 values. d. Does it appear that the estimate for the expected value of the median is getting closer to 2 as the number of replicates increases