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451概率简单数值题short

Normal Approximation to Coin-Flip Counts

题目

A fair coin is flipped n=400n = 400 times independently. Let SS denote the total number of heads. Using the Central Limit Theorem, approximate P(190S210)P(190 \le S \le 210).

You may use the fact that Φ(1)0.8413\Phi(1) \approx 0.8413, where Φ\Phi is the standard normal CDF.

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