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 contains1%defectivesyringes.

(a)Find(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 find? (Enter a number. Enter your answer to two decimal places.)

(b)What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)

(c)Find(in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)