Test your conclusions in Exercise by computer simulation. First choose 364 numbers [math]X_i[/math] with density [math]f(x) = \mbox {normal}(x,0,1/4)[/math]. Now form the sum [math]Y_{365} = 100 + X_1 + X_2 +\cdots+ X_{364}[/math], and repeat this experiment 200 times. Make up a bar graph on [math][50,150][/math] of the results, superimposing the graph of the approximating normal density. What does this graph say about your answers in Exercise?