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456概率简单数值题short

Defective Items in a Production Batch

题目

A factory produces items independently, each defective with probability p=0.03p = 0.03. A batch of n=500n = 500 items is inspected. Let DD denote the number of defective items in the batch.

Using the Central Limit Theorem, approximate P(D20)P(D \le 20).

You may use Φ(1.30)0.9032\Phi(1.30) \approx 0.9032.

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