Write a program to choose independently 25 numbers at random from [math][0,20][/math], compute their sum [math]S_{25}[/math], and repeat this experiment 1000 times. Make a bar graph for the density of [math]S_{25}[/math] and compare it with the normal approximation of Exercise Exercise. How good is the fit? Now do the same for the standardized sum [math]S_{25}^*[/math] and the average [math]A_{25}[/math].