1. Suppose that the number of major defects on a windshield from a particular production line follows a Poisson distribution with >. = 0.01/windshield.
(a) What is the probability that a windshield will be defect free?
(b) What is the expected number of defects per windshield?
(c) The production line is stopped when a windshield has two or more defects. What is the probability of the line stopping?
2. A manufacturer of plastic bags tested a random sample of 43 bags from a production line and found that on average the bags could hold 18.5 lbs before failing (i.e., breaking). The raw data are in weight .txt.
(a) Determine what distribution these data follow, justify your conclusion.
(b) One grocery store chain demands that its bags be able to hold at least 17.5 lbs. What is the probability that any one bag can hold 17.5 lbs? Do you believe that the manufacturer should agree to a contract with this grocery chain given its current process capabilities?
(c) A second grocery store chain has less stringent requirements. They only need bags that can hold up to 15 lbs. Evaluate the manufacturer's ability to supply this chain.