question archive he 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 eight syringes taken from the batch

he 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 eight syringes taken from the batch

Subject:StatisticsPrice: Bought3

he 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 eight 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, ..., 7 and 8 defective syringes in a random sample of eight 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 =  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 σ (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)
σ =  syringes

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