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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

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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 twelve syringes taken from the batch. Suppose the batch contains 1% defective syringes. (a) Make a histogram showing the probabilities ofr = 0, 1, 2, 3, ..., 11 and 12 defective syringes in a random sample of twelve syringes. (Select the correct graph.) 0.90 0.80 0.70 0.60 0.50 0.40 0.30 0.20 0. 10 0 0123456789101112 I" 0.90 0.80 0.70 0.60 P(r) 0.50 0.40 0.30 0.20 0.10 0 1 2 3 4 5 6 7 8 9 10 11 12 O r 0.90 0.80 0.70 0.60 P(r) 0.50 0.40 0.30 0.20 0.10 0 1 2 3 4 5 6 7 8 9 10 11 12 O r0.90 0.80 0.70 0.60 P(r) 0.50 0.40 0.30 0.20 0.10 O 0 0123456789101112 T (b) Find y (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.) What is the expected number of defective syringes the inspector will nd? (Enter a number. Enter your answer to two decimal places.) (c) What is syri n gas the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.) (d) Find a (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.) 0': syringes

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