Reference no: EM132651659
A marketing firm is considering making up to three new hires. Given its specific needs, management feels that there is a 55% chance of hiring at least two candidates. There is only a 9% chance that it will not make any hires and a 15% chance that it will make all three hires.
-What is the probability that the firm will make at least one hire? (round your answers to 2 decimal places)
-Find the expected value and the standard deviation of the number of hires. (round intermediate calculations to at least 4 decimals places. round your final answers to 2 decimal places)
The state police are trying to crack down on speeding on 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 95% of the time; that is there is a 0.95 probability that 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.
-What is the probability that the gun detects speeding and the driver was speeding? (round your answers to 4 decimal places.)
-What is the probability that the gun detects speeding and the driver was not speeding? (round your answers to 4 decimal places.)
-Suppose the police stop a driver because the gun detects speeding. What is the probability that the driver was actually driving below the speed limit? (round your answers to 4 decimal places.)