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 not having vehicle arriving over a 30-second time interval. choices: 4.98%, 6.87%, 5.32%, 7.65%
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Q: An observer counts 240 veh/h at a specific highway location. Assume that the vehicle arrival at the…
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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 not having vehicle arriving over a 30-second time interval. choices: 4.98%, 6.87%, 5.32%, 7.65%
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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%, 4.20%, 6.89%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 is
- 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.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%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?
- A volume of 320 veh/h. Assume that the vehicle arrivals are Poisson distributed. What is the probability that the headway between successive vehicles will be less than 10 seconds. choices: 62.70%, 58.90%, 56.30%, 60.00%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?1) 1) A section of highway has the following flow-density relationship: q-50k-0.156k² What is the capacity (maximum flow) of the highway section, the space mean speed at capacity, and the density when the traffic flow on the highway is at one-quarter of its capacity? 2) An observer has determined that the time headways between successive vehicles on a section of highway are exponentially distributed (arrival of vehicle is Poisson distribution) and that 60% of the headways between vehicles are 13 seconds or greater. If the observer decides to count traffic in 30-second time intervals, estimate the probability of the observer counting exactly four vehicles in an interval.
- It was determined through a survey that the rate of vehicles crossing a point on a highway is 400 veh/h. Calculate the probability of 5 vehicles arriving at an interval of 60 sec.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/kmAn observer has determined that the time headways between successive vehicles on a section of highway are exponentially distributed and that 65% of the headways between vehicles are 9 seconds or greater. If the observer decides to count traffic in 30-second time intervals, estimate the probability of the observer counting exactly four vehicles in an interval.