Question: Solve the problem of example 2.6 (page 54) by making use of the normal approximation to the hypergeometric distribution and compare with the exact result.

Solve the problem of example 2.6 (page 54) by making use of the normal approximation to the hypergeometric distribution and compare with the exact result.

Data from Example 2.6

A customer knows that on average 4% of parts delivered by a manufacturer are defective and has accepted this percentage. To check whether the manufacturer exceeds this limit, the customer takes from each batch of 800 parts randomly a sample of size 80 and accepts the delivery if there are at most 3 defective parts in a sample. What is the probability that the customer accepts a batch, which contains 50 defective parts, although it should be on average only 32 defective parts?

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