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.)