State police believe that 68% of the drivers drive above the speed limit on the freeway. Driving behavior of a random sample of 110 drivers were observed with hidden cameras. What is the probability that in that sample more than 71% of the drivers crossed the speed limit? Answer to 4 decimal places
Solution
Given that,
p = 0.68
1 - p = 1-0.68=0.32
n = 110
= p =0.68
= [p( 1 - p ) / n] = [(0.68*0.32) / 110 ] = 0.044
P( > 0.71) = 1 - P( <0.71 )
= 1 - P(( - ) / < (0.71-0.68) / 0.044)
= 1 - P(z <0.68 )
Using z table
= 1 -0.7517
=0.2483
State police believe that 68% of the drivers drive above the speed limit on the freeway....
The proportion of vehicles which drive above the speed limit on a freeway is 78%. Suppose 10 vehicles are randomly clocked. The following is the probability distribution of the number of vehicles which drive above the speed limit. (The blank cells are intentional!)
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 91% of the time; that is, there is a 0.91 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 2% chance that the gun erroneously detects a speeder...
Can you please show your work. 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 93% of the time; that is, there is a 0.93 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 1% chance that...
The speeds of vehicles on a highway with speed limit 90 km/h are normally distributed with mean 104 km/h and standard deviation 6 km/h. (Round your answers to two decimal places.) (a) What is the probability that a randomly chosen vehicle is traveling at a legal speed? _______ % (b) If police are instructed to ticket motorists driving 110 km/h or more, what percentage of motorist are targeted? _______ %
The speeds of vehicles on a highway with speed limit 110 km/h are normally distributed with mean 123 km/h and standard deviation 5 km/h. (Round your answers to two decimal places.) (a) What is the probability that a randomly chosen vehicle is traveling at a legal speed? (b) If police are instructed to ticket motorists driving 135 km/h or more, what percentage of motorist are targeted?
11 points A breathalyzer test is used by police in an area to determine whether a driver's blood alcohol conten BAC not consumed too much alcohol give a BAC reading from the breathalyzer as being above t level. Suppose that in fact, 6 6% of drivers are above the legal alcohol limit, and the police stop a driver at random sa o e h the legal limit, while 11.9% or drivers who have consumed too much legal limit. The devices...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(_____,______) b. If one car is randomly chosen, find the probability that it is traveling more than 69 mph. ________ c. If one of the cars is...
A study found that highway drivers in one state traveled at an average speed of 54.1 miles per hour (MPH). Assume the population standard deviation is 5.4 MPH. Complete parts a through d below. a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 53 MPH? P(x<53)= (Round to four decimal places as needed.) b. What is the probability that a sample of 40 of the drivers will have a...
(10%) Problem 9: Slick Willy is in traffic court (again) contesting a $50.00 ticket for speeding. The speed limit was vo 50 mph and the police officer clocked Slick going vsw 68 mph. However, he was caught by a police officer driving towards him, so he is arguing that although the police officer measured him to be speeding, in reality he was not. Slick Willy is assuming that the Doppler shift in electromagnetic radiation is described in the same way...
Chapter 05, Section 5.4, Problem 036 According to a survey conducted at the local OMV, 50% of drivers who rive to work stated that they regularly exceed the posted speed limit on their way to work. Suppose that this result is true for the population of drivers who drive to work. A random sample of 15 drivers who drive to work is selected. Use the binomial probabilities table (Table 1 of Appendix 8) or technology to find to 3 deimal...