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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 six 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, …, 5 and 6 defective syringes in a random sample of six 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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