Consider only a single lane of a highway. Based on extensive data from an urban freeway it is assumed that free-flow speeds (i.e., there are no jams) can best be represented by a Normal distribution with mean and standard 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 of 100 Km/h? You can use the Z table for calculating the final answer. You can also write your final answer in form of R functions or as PDF/CDF of statistical distributions with correct arguments.

Consider only a single lane of a highway. Based on extensive data from an urban freeway it is assumed that free-flow speeds (i.e., there are no jams) can best be represented by a Normal distribution with mean and standard 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 of 100 Km/h? You can use the Z table for calculating the final answer. You can also write your final answer in form of R functions or as PDF/CDF of statistical distributions with correct arguments.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter4: Traffic Engineering Studies

Section: Chapter Questions

Problem 7P

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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. Assume you are observing traffic in a single lane of a highway at a specific location. You measure the average headway and average spacing of passing vehicles as 3 seconds and 150ft, respectively. What is the average speed of the traffic stream? Note: you can use two methods to conduct the calculation. 2. Assume the speed and density at a freeway location follows a linear relationship. You observe traffic flow rate of 2250 vehicles/hour at 45 mph and 3000 vehicles/hour at 30 mph. What are the jam density, free flow speed (max speed), and capacity of this freeway location? How about the density and speed (i.e., the critical density and the critical speed) at the capacity?
An 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.
To determine the ADT on the road, the data was collected as shown below on a Tuesday during the following. Consider If the traffic is expected to be 180% from the current traffic up to May 2030, Table 1: Traffic volume at specific time 7:00–8:00 a.m. 8:00 –9:00 a.m 9:00–10:00a.m 10:00–11:00 .m 11:00 –12 noon 150 120 130 50 20
Engineering /Civil Engineering /Transportation Engineering
please help here are the choices please base your answer on the given choices thank youa. 3.33 b. 3.83 c. 4.33 d. 2.83
The average speed of vehicles on an expressway is being studied. a. Suppose observation on 50 vehicles yielded a sample mean of 65 km/hr. Assume that the standard deviation of vehicle speed is known to be 6 km/hr. Determine the two-sided 99% confidence intervals of the mean speed. b. In part (a), how many additional vehicles' speed should be observed such that the mean speed can be estimated to within + 1 km/hr with 99% confidence? C. Suppose John and Mary are assigned to collect data on the speed of vehicles on this expressway. After each person has separately observed 10 vehicles, what is the probability that John's sample mean will exceed Mary's sample mean by 2 km/hr? d. Repeat part (c) if each person has separately observed 100 vehicles instead?
7) In studying of traffic flow at a highway toll booth over a course of 60 minutes, it is determined that the arrival and departure rates are deterministic, but not uniform. The arrival rate is found to vary according to the function A(t) = 1.8+0.25t - 0.00312. The departure rate function is u(t) = 1.4 +0 .1lt. In both of these functions, t is in minutes after the beginning of the observation and (t) and „u(t) are in vehicles per minute. At what time does the maximum queue length occur? a) 49.4 min, b) 2.7 min ,c) 19.4 min, d) 60.0 min
Example - Floating car method The data collected from speed and delay studies by floating car method on a stretch of urban road of length 3.5 km, running North-South are given below. Determine the average values of volume, journey speed and running speed & SMS of the traffic stream along either direction. Trip Direction of Journey trip time No. 1234S00 5 6 7 8 N-S S-N N-S S-N N-S S-N N-S S-N Total stop No. of delay vehicles Min-Sec Min-Sec overtaking 6-32 7-14 6-5 7-40 6-10 8-00 6-28 7-30 1-40 1-50 1-30 2-00 1-10 2-22 1-40 1-40 4552 M N N M 3 2 2 3 No. of vehicle overtaken 733L5252 1 No. of vehicles from opposite direction 268 186 280 200 250 170 290 160
Question 1 In studying traffic flow at a highway toll booth over a course of 60 minutes, it is determined that the arrival and departure rates are deterministic, but not uniform. The arrival rate is found to vary according to the function of A (t) = 1.8 2 +0.25t -0.0030t. The departure rate function is u(t) =1.4 + 0.11 t. In both of these functions, t is in minutes after the beginning of the observation and X(t) and u(t) are in vehicles per minutes. (i) When will the queue that forms be cleared? (ii) What time does the maximum queue length occur and what will be the corresponding queue length? (iii) Determine the total delay (iv) Estimate the average time delay per vehicle
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5.7 An 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.