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The assembled laptops are stream on a conveyor belt towards the packaging machine. A quality control inspector (QCI) is tasked to inspect the laptops for

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The assembled laptops are stream on a conveyor belt towards the packaging machine. A quality control inspector (QCI) is tasked to inspect the laptops for visible scratches or dents. A laptop is classified as defective if it has one or more scratches or one or more dents, and non-defective otherwise. Assume that the process has a fixed probability of producing a defective laptop. A run is defined as the maximal number of consecutivenondefective laptops that the QCI sees on the conveyor belt. Thus if laptop # 12 is defective, laptops numbered 1320 are nondefective and laptop 3% 21 is defective then we have a I'll of length 8. After inspecting laptops for many years the Q01 has empirically observed that the Average Run Length is 12. He comes in to work on a Monday, and the laptops start streaming on the conveyor belt after his arrival. What is the probability that the rst run he sees is of length 3

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