9. Sampling Distributions. (a) Please generate 100 random samples of of N(1,1) with sample size 1000. (That is, generate 1000 normal random numbers with mean 1 and standard deviation 1, and repeat this generation 100 times.) Plot the histogram of the 100 sample means. (b) Please generate 100 random samples of Exp(1) with sample size 1000. Plot the histogram of the 100 sample means. (c) Please generate 100 random samples of Poisson(1) with sample size 1000. Plot the histogram of the 100 sample means. (d) Please generate 100 random samples of Bin(10, 0.1) with sample size1000. Plot the histogram of the 100 sample means. (e) Compare the histograms of (a)-(d). Are they similar to each other? Can you give some insight why they look similar or not? (f) Plot the histograms of 100 sample variances from part (a)-(c) and compare. 9. Sampling Distributions. (a) Please generate 100 random samples of of N(1,1) with sample size 1000. (That is, generate 1000 normal random numbers with mean 1 and standard deviation 1, and repeat this generation 100 times.) Plot the histogram of the 100 sample means. (b) Please generate 100 random samples of Exp(1) with sample size 1000. Plot the histogram of the 100 sample means. (c) Please generate 100 random samples of Poisson(1) with sample size 1000. Plot the histogram of the 100 sample means. (d) Please generate 100 random samples of Bin(10, 0.1) with sample size1000. Plot the histogram of the 100 sample means. (e) Compare the histograms of (a)-(d). Are they similar to each other? Can you give some insight why they look similar or not? (f) Plot the histograms of 100 sample variances from part (a)-(c) and compare