The quality-control inspector of a production plan will reject a batch of syringes if two or more defective syringes are found in a random sample of eight syringes taken from the batch. Suppose the batch contains 12% defective syringes.
a. What is the expected number (mean) of defective syringes the inspector will find? What is the standard deviation?
b. What is the probability that the batch will be accepted? In other words, what is the probability that less than three syringes are defective?
1 answer
The easiest way to do this is to use a binomial probability table. You would need to find P(0) and P(1), add the probabilities together, then subtract that value from 1.
2 answers