Question 4 20 points a. State the conditions required for the binomial setting. b. State the conditions required for the Poisson setting. A company manufactures filters for the removal of oil and other contaminants from compressed air systems. There are several hand operations involved in the manufacturer of filter elements and typical batch sizes are around one thousand elements. A random sample of size 40 is taken from a batch before shipping and tested against a stringent internal specification which includes dimensional checks and appearance. Long run production performance shows a test failure rate of 6%. The quality control office recommends modeling the number of test failures as a Poisson distribution with rate parameter of 6. c. Critique this suggestion