The population for X and Y random variables are the following. X= [25, 88, 170, 90, 35, 16, 98, 80, 43, 139, 154, 72, 188, 163, 122, 111, 10, 24, 8, 2, 54, 63, 64, 65, 130] Y=[26, 89, 171, 91, 36, 17, 99, 81, 44, 140, 155, 73, 189, 164, 123, 112, 11, 25, 9, 3, 55, 83, 84, 85, 131] a) Calculate mean and variance for your sample from X and Y? b) Calculate the covariance and correlation coefficient using your samples from X and Y ? c) Show that covariance is sensitive to scaling while the correlation coefficient is not using your samples from X and Y ? Note: Please show the formulas and solve the problem step by step