Density on a corridor was estimated to be 47 vehicles per mile using a snapshot from a flying drone. If the average space mean speed was calculated as 45 mph, then what is the average headway between vehicles? Report your answer in seconds up to two digits after the decimal.

The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds. A. What is the probability that the arrival time between vehicles is 12 seconds or less (to 4 decimals)? B. What is the probability that the arrival time between vehicles is 6 seconds or less (to 4 decimals)? C. What is the probability of 30 or more seconds between vehicle arrivals (to 4 decimals)?

Table below shows the frequency of each speed collected from a rural highway segment. Caiculate the 85-percentile speed. Note: The 85-percentile speed is designed as the speed at or below which 85% of the traffic is travelling. Speed (MPH 25 Frequency 28 2 1 29 32 33 35 2 36 1 37 39 2 42 1 43 45 5 46 2 47 3 48 49 3 50 51 52 1 53 2 54 1 55 56 1 57 2 60 1 61 2 62 1 63 1 64 1 65 1 66 69

A researcher was observing traffic along one lane of a rural highway. During a 1 minute time interval, ten vehicles were observed travelling 65, 64, 71, 66, 58, 72, 69, 66, 55 and 62 mph. Calculate the average time headway (s). Provide your answer to the nearest tenth of a second.

Question 9 give detailed process explaining your answer Subject: Transportation Engineering

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 travel times are measured for vehicles as they cross the highway 2.0 miles long. Calculate time average speed (TMS) and average speed space (SMS) for this data. Why is SMS always lower than TMS?

Question 10 give detailed process explaining your answer Subject: Transportation Engineering