This problem requires a computer program because the calculation is too tedious to do by hand. Extend

Question:

This problem requires a computer program because the calculation is too tedious to do by hand. Extend the calculation in Example 6.1.1 to the case of n = 200 flips. That is, let W be the number of heads in 200 flips of a fair coin, and compute Pr(0.4 ≤ W/200 ≤ 0.6). What do you think is the continuation of the pattern of these probabilities as the number of flips n increases without bound?