An observer counts 360 veh/h at a specific highway location. Assuming that the arrival of vehicles at this highway location is Poisson distributed, estimate the probabilities of having at least 5 vehicles arriving over a 25-second time interval. choices: 8.57%, 10.88%, 4.20%, 6.89%
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An observer counts 360 veh/h at a specific highway location. Assuming that the arrival of vehicles at this highway location is Poisson distributed,
estimate the probabilities of having at least 5 vehicles arriving over a 25-second time interval. choices: 8.57%, 10.88%,
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- An observer counts 360 veh/h at a specific highway location. Assuming that the arrival of vehicles at this highway location is Poisson distributed, estimate the probabilities of having at most 3 vehicles arriving over a 20-second time interval . choices: 74.29%, 85.71%, 93.23%, 67.66%An observer counts 240 veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one vehicle arriving over a 30- second time interval isAn observer counts 360 veh/h at a specific highway location. Assuming that the arrival of vehicles at this highway location is Poisson distributed, estimate the probabilities of not having vehicle arriving over a 30-second time interval. choices: 4.98%, 6.87%, 5.32%, 7.65%
- A volume of 320 veh/h. Assume that the vehicle arrivals are Poisson distributed. What is the probability that the headway between successive vehicles more than 20 seconds? 18.20% 20.40% 14.60% 16.90%Consider only a single lane of a highway. Based on extensive data from an urban freeway it is assumed thatfree-flow speeds (i.e., there are no jams) can best be represented by a Normal distribution with mean andstandard deviation 119 km/h and 13.1 km/h, respectively.1. What is the probability that the speed of a randomly selected vehicle is between 100 and 120 km/h?2. What is the expected number of vehicles between two vehicles that exceed the posted speed limit of100 Km/h? You can use the Z table for calculating the final answer. You can also write your final answer in form ofR functions or as PDF/CDF of statistical distributions with correct arguments.Vehicles arrive at an intersection at a rate of 450 veh/h according to a Poisson distribution. What is the probability that 3 or more vehicles will arrive in two successive 30-second interval?
- Two observers have determined that the time headways between successive vehicles are exponentially distributed and that 70% of the headways are 8s or greater. If one of observer decides to count traffic in 40s intervals, and the other in 35s intervals, estimate the probability of each observer counting 5 or more vehicles in their own intervals?Question 3: (a) A section of highway is known to have a free-flow speed of 95 km/h and a capacity of 3300 veh/h. Your summer student indicates that the average time in between passing vehicles was 1.6 seconds during an hour of monitoring. If the linear speed-density relationship applies, what was the space-mean speed of the vehicles during the hour of monitoring?A section of a highway is known to have a free-flow speed of 65 mi/h and a capacity of 3500veh/h. In a given hour, 2500 vehicles were counted at a specified point along this highway section. If the linear speed-density relationship applies. What would you estimate the space-mean speed (mph) of these 2500 vehicles be? choices: 50.34, 48.61, 49.87, 51.46
- the following travel times were observed for four vehicles traversing a one km segment of highway. Observation time are 1.6min,1.2min, 1.5 min, and 1.7 min for vehicles A, B, C, and D respectively. find the rate of flow if the density is 20 veh/kmSupposed vehicles arrive at a signalized road intersection at an average rate of 360 veh/hr and the cycle of the traffic light is set at 40 seconds. In what percentage of cycles will the number of vehicles be arriving: a. Exactly 5 b. Less than 5 If, after the lights change to green, there is time to clear only 5 vehicles before the signal changes to red again, what is the probability that waiting vehicles are not cleared in one cycle?At time ? = 0, when the border inspection station was scheduled to open, eight vehicles were already waiting in a queue in front of an inspection booth. Vehicles continued to arrive at a rate of 4 veh/minute. The officer did not start the inspection until ? = 4 minutes. When ?≥4 minutes, the barrier was lifted and vehicles left at a rate of 7.5 veh/minute. Draw the vehicle arrival and departure curves in the following graph. From the graph, determine the maximum queue length and the time the queue disappears. Assume D/D/1 queuing.