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5. To control the quality of a manufactured product, samples of the product are taken at specified inspection time periods and a quality characteristic is measured. If the measurement falls below a certain predetermined threshold, the process is declared out of control and is interrupted. The probability that an inspection will result in the manufacturing process being interrupted is 0.02, independently of the other inspections. a) Find the probability that more than 15 inspections occur for the first interruption to be declared. b) If there have already been 5 inspections with no interruptions, what is the probability that there will be no interruptions in the next 10 inspections either. c) Suppose that after five interruptions the process undergoes a major evaluation. Find the probability that exactly 250 inspections occur for the major evaluation to start