Question: The quality control inspector of a production plant will reject a batch for syringes of two or more defective syringes are found in a random sample eight syringes taken from the batch. Suppose the batch contains 1% defective syringes.

a. Make histogram showing the probabilities of r= 0, 1, 2, 3, 4, 5, 6, 7 or 8 defective syringes in a random sample of eight syringes.

b. Find what is the expected number of defective syringes the inspector will find?

c. What is the probability that the batch will be accepted?

d. Find \(\sigma \).