Find the mean as well as standard deviation for given data and make a histogram under Binomial distribution.
The quality-control examiner of a production plant 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. Presume the batch contains 1% defective syringes.
1) Make a histogram showing the probabilities of r = 0, 1, 2, 3, 4, 5, 6, 7, or 8 defective syringes in a random sample or eight syringes.
2) Find μ. What is the expected number of defective syringes the inspector will find?
3) What is the possibility that the batch will be accepted?
4) Find σ.