Quality control: Syringes
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 8 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 8 syringes.
b.) Find the mean. What is the expected number of defective syringes the inspector will find?
c.) What is the probability the batch will be accepted?
d.) Find the standard deviation.