The freeway detector recorded an occupancy of 0.255 over a 15-minute period. If the detector is 1.5 meters long, and the average vehicle has a length of 6.5 meters, what is the implied density of this measurement?
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- Consider a case in which a detector records an occupancy of 0.200 for a 15 – minute analysis period. If the average length of a vehicle is 28 ft. and the detector is 3 ft. long, what is the density?At an impaired driver checkpoint, the time required to conduct the impairment test varies (exponentially distributed) depending on the compliance of the driver, but takes 60 seconds on average. If an average of 30 vehicles per hour arrive (according to a Poisson distribution) at the checkpoint, determine the average time spent in the system.Can someone please show me how to solve this step by step. Thank you Suppose you are hired by the UHM Transportation and Traffic Lab (TTL) to analyze vehicle arrivals at one lane of the interchange bridge connecting I-25 and I-40 for the period from 12:00am to 4:00am in a weekday. It is known that vehicle arrivals follow a Poisson process at this location. There is a single-loop detector embedded on this lane at the end of the interchange bridge. Since you do not want to go to the bridge to count vehicles at this time period, you decided to use the loop detector data for the analysis. Of the 720 20-second intervals (the loop detection system stores data every 20 seconds), 508 intervals were identified to have at least one vehicle detected. Assume the loop detector is free of error. Please estimate the vehicle arrival rate (vehicles per second) for this lane. With the estimated arrival rate, please calculate the probability of having three or more vehicles detected in a 20-second…
- count period. n, 5, A 24-hour count using a road tube at a rural highway location produces a count of I1,250 actuations. A repre- sentative sample count to classify vehicles resulted in the data shown here: en Data for Problem 2 Number of Axles Per Vehicle Number Observed 157 55 50 33 8. ---«n 1EK 8 TRAFFIC DATA C Based on this sample classification count, how many vehicles were observed during the 24-hour study? 2344 6Question 25 Given a free flow speed of 70 mph, and an analysis volume (or flow rate) of 1,942 passenger car/hour/lane on a freeway, what is the density in passenger car/hour/lane? (please compute an exact answer)At a toll booth, vehicles arrive with a mean arrival rate of 2 vehicles per minute and they are processed with a mean rate of 6 vehicles per minute. Determine the average length of queue, the average time spent in the toll booth, and the average waiting time if the vehicles arrive according to a Poisson process and they are processed at a uniform deterministic rate. they are processed at an exponential rate. a) b)
- A 12 ft long loop detector has observed six vehicles that have crossed the device in a 148 second period, for the following durations: 0.44; 0.48; 0.5; 0.41; 0.49; and 0.55. The six vehicles are 18, 21, 20, 23, 17 and 19 ft respectively. Calculate: b. What is the % lane occupancy?count peiod. n, 5, A 24-hour count using a road tube at a rural highway location produces a count of I1,250 actuations. A repre- sentative sample count to classify vehicles resulted in the data shown here: 2. en Data for Problem 2 Number of Axles Per Vehicle Number Observed 157 55 50 33 8. ---n 1EK 8 TRAFFIC DATA C Based on this sample classification count, how many vehicles were observed during the 24-hour study? 2344 6At an impaired driver checkpoint, the time required to conduct the impairment test varies (according to an exponential distribution) depending on the compliance of the driver, but takes 60 seconds on average. If an average of 30 vehicles per hour arrive (according to a Poisson distribution) at the checkpoint, determine the average time spent in the system in minutes/vehicle. Answer in whole number.
- Question 2: A student safety advocacy group believes that drivers are speeding down Manhattan College Blvd. To prove their point, they wish to college vehicle speed data. Previous research has shown that the standard deviation of vehicle speeds on this functional class of roads is 7.00 mph. A. How many vehicles will the group need to sample to determine the 50 percentile speed if they wish to be 95.5% confident in their results plus or minus 3.00 mph? B. How does the 50“ percentile required sample size change if we are concerned about the 85" percentile? C. How does the 50" percentile required sample change if we want the results to be accurate to plus or minus 1.5 mph?This is a three-part question. Data obtained from aerial photography showed eight vehicles on an 800 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 3.7 sec. Part A. Determine the density on the highway in vehicles per mile. Part B. Determine the flow on the road in vehicles per hour. Part C. Determine the space mean speed in mph.Drivers arrive at a toll booth at a rate of 5 per minute during peak traffic periods. The time between consecutive driver arrivals follows an exponential distribution. What is the probability that it will take a) more one minute between consecutive drivers? b) between 30 seconds and 90 seconds between consecutive drivers?