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The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have

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The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specically, the gun advertises i one-mile~per-hour accuracy 95% of the time; that is. there is a 0.95 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 3% chance that the gun erroneously detects a Speeder even when the driver is below the speed limit. Suppose that 92% of the drivers drive below the speed limit on this stretch of the Massachusetts Turnpike. ' a. What is the probability that the gun detects speeding and the driver was speeding? (Round your answer to 4 decimal places.) b. What is the probability that the gun detects speeding and the driver was not speeding? (Round your answer to 4 decimal places.) Probability - 0.0276 c. Suppose the police stop a driver because the gun detects s peeding. What is the probability that the driver was actually driving below the speed limit? (Round your answer to 4 decimal plac es.)

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