Question
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
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 ofeightsyringes taken from the batch. Suppose the batch contains5%defectivesyringes.(a) Make a histogram showing the probabilities ofr= 0, 1, 2, 3, ...,7and8defective syringes in a random sample ofeightsyringes.(Select the correct graph.)
(b) Find(in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.) = (?) syringes What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.) (?) syringes (c) What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.) (?) (d) Find(in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.) = (?) syringes
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