Question
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
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. Specifically, the gun advertises one-mile-per-hour accuracy 80% of the time; that is, there is a 0.80 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 77% 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.)
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