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Quality Control (Syringes) - Binomial Probability

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Quality control: Syringes

The quality control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of 8 syringes taken from the batch. Suppose the batch contains 1% defective syringes.

a.) Make a histogram showing the probabilities of r=0, 1,2,3,4,5,6,7, or 8 defective syringes in a random sample of 8 syringes.

b.) Find the mean. What is the expected number of defective syringes the inspector will find?

c.) What is the probability the batch will be accepted?

d.) Find the standard deviation.

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Solution Summary

All the parts of the question are answered neatly. Binomial distribution sketch included.

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a) See attached for histogram

(b) Expected number of defective syringes ...

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