Question: Exact Value and Approximation Refer to Figure 21 in Example 2, and refer to the display under Rationale for Using Normal Approximation It shows the
Exact Value and Approximation Refer to Figure 21 in Example 2, and refer to the display under “Rationale for Using Normal Approximation” It shows the shaded region representing exactly 235 wins among 431 games. What is the shape of the corresponding region in the display? If we use technology without an approximation, the probability of exactly 235 wins is found to be 0.0066. If we use the normal approximation to the binomial distribution, the probability of exactly 235 wins is found from Table 2 in Appendix: Tables the Standard Normal Distribution table to be 0.0068. Which result is better? Is the approximation off by much?
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