Test your conclusions in Exercise 11 by computer simulation. First choose 364 numbers Xi with density f(x)=normal(x,0,1/4). Now form the sum Y365=100+X1+X2+⋯+X364, and repeat this experiment 200 times. Make up a bar graph on [50,150] of the results, superimposing the graph of the approximating normal density. What does this graph say about your answers in Exercise 11?