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.) 0.80 0.70 0.60 0.50 2 0.40 0.30 0.20 0.10 0.80 0.70 0.60 0.50 2 0.40 0.30 0.20 0.10 0.80 0.70 0.60 0.50 E 040 0.30 0.20 0.10 LOL 0 1 2 0.80 0.70 0.60 0.50 2 0.40 0.30 0.20 0.10 OL O (b) Find A (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.) 4 = .30 syringes What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.) 30 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