A Production Process Produces 10 Percent Defective Items

A production process produces 10 percent defective items.
Describe the sampling distribution of the proportion of defectives for a simple random sample of n = 50.
Is the distribution approximately normal?
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What is the mean?
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What is the standard deviation?
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What is the likelihood of encountering a sample proportion within 0.03 of the population proportion?
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If the production process is shut down whenever a sample proportion of defectives exceeds 0.05, what is the likelihood of this happening?
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Correct Answer:

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Yes; 0.10;...

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