Question: Quality Control: Syringes

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

a.) Make a 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 \[\mu \]. 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 \[\sigma \].