Page 36 Question 12

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?

The histogram almost lines up with the normal distribution curve- many observations lie in the middle and they taper off at the edges. This says that my answers for excercise 11 are likely to be accurate, but we can only be sure if we do many more experiments.