Suppose that a random sample of 25 items is selected from the machine of Exercise 7.72

Chapter 7, Problem 7.79

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QUESTION:

Suppose that a random sample of 25 items is selected from the machine of Exercise 7.72. If the machine produces 10% defectives, find the probability that the sample will contain at least two defectives, by using the following methods: a The normal approximation to the binomial b The exact binomial tables

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QUESTION:

Suppose that a random sample of 25 items is selected from the machine of Exercise 7.72. If the machine produces 10% defectives, find the probability that the sample will contain at least two defectives, by using the following methods: a The normal approximation to the binomial b The exact binomial tables

ANSWER:

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(a)

Denote with  the number of defectives in the sample of .

We have that .

 

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