# Probability of Defectiveness in Sample

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A Tamiami shearing machine is producing 10 percent defective pieces, which is abnormally high. The quality control engineer has been checking the output by almost continuous sampling since the abnormal condition began. What is the probability that in a sample of 10 pieces:

That exactly 5 will be defective? That 5 or more will be defective?

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#### Solution Preview

Probability of r defective out of n sample = nCr x p^r x (1-p) ^ (n-r)

P(5) = ...

#### Solution Summary

The response shows the needed formula for calculating the probability and shows how to calculate the probability of defective pieces in the example.

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