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The quality-control inspector of a production plant will reject a...

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 ten syringes taken from the batch. Suppose the batch contains 5% defective syringes.

(a)

Make a histogram showing the probabilities of r = 0, 1, 2, 3, ..., 9 and 10 defective syringes in a random sample of ten syringes. (Select the correct graph.)



(b)

Find μ (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.)

μ = 2 syringes


What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.)

3 syringes


(c)

What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)

4


(d)

Find σ (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)

σ = 5 syringes

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