Make a cumulative vehicle diagram and queue accumulation polygon based on the following field data collected from an approach at a signalized intersection, namely: 1. Cycle length = 72 seconds 2. Red interval = 30 seconds %3D 3. Green interval = 42 seconds 4. Vehicle arrival flow = 900 vehicles/hour 5. Saturation flow rate = 1800 vehicles/hour 6. Vehicle departures every 2 seconds

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?

At a specified point on a highway, vehicles are known to arrive according to a Poisson process. Vehicles are counted in 20-second s are intervals, and vehicle counts are taken in 120 of these time intervals. It is noted that no cars arrive in 18 of these 120 intervals. Approximate the number of these 120 intervals in which exactly three cars arrive.

14.6 Car 15.2 Car 19.0 Truck 15.5 Car 14.3 Car 17.4 Truck 13.7 Car The vehicles were selected by sampling whatever vehicle was entering the section, choosing every 30 seconds. Estimate the time mean speed and the space mean speed, by vehicle type, and overall

Vehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is 900 vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles assumed to be points), the probability (up to four decimal places) that the gap is greater than 8 seconds is

the following data were taken on five vehicles travelling consecutively 1.5km portion of the NLEX. Vehicle Time(minute) 1 1.2 2 1.0 3 1.4 4 1.3 5 1.1 Determine the density of traffic in (Veh per km) 3.33 3.83 4.33 2.83

4. The statistical data of an urban spot speed study is given below. A set of 130 observations of spot speeds made by timing vehicles through a "Trap" of 88ft. The stopwatch was used to obtain data. The stopwatch data are grouped into 0.2 sec. Classes. The first column of the table shows the midpoint of each group. The second column of the table shows the frequency of the observations. Compute the following statistical values. a) The speed of each time class in mph (show it in the third column) b) The cumulative percent of vehicles traveling at or below indicated speed shown in the third column in mph (show it in the forth column) c) Mean or average speed (time-mean speed), median, mode, standard deviation, standard error of the mean, average time, space-mean speed, variance, 15%, and 85% speed. d) Plot the cumulative percentage, and show the statistical values of item (c) on the graph. e) Plot the frequency distribution curve and show the statistical values on the graph.