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.
(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.)
(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