Can someone please show me how to solve this step by step. Thank you Suppose you are hired by the UHM Transportation and Traffic Lab (TTL) to analyze vehicle arrivals at one lane of the interchange bridge connecting I-25 and I-40 for the period from 12:00am to 4:00am in a weekday. It is known that vehicle arrivals follow a Poisson process at this location. There is a single-loop detector embedded on this lane at the end of the interchange bridge. Since you do not want to go to the bridge to count vehicles at this time period, you decided to use the loop detector data for the analysis. Of the 720 20-second intervals (the loop detection system stores data every 20 seconds), 508 intervals were identified to have at least one vehicle detected. Assume the loop detector is free of error. Please estimate the vehicle arrival rate (vehicles per second) for this lane. With the estimated arrival rate, please calculate the probability of having three or more vehicles detected in a 20-second interval and the probability of having a headway shorter than 10 seconds.
Can someone please show me how to solve this step by step. Thank you
Suppose you are hired by the UHM Transportation and Traffic Lab (TTL) to analyze vehicle arrivals at one lane of the interchange bridge connecting I-25 and I-40 for the period from 12:00am to 4:00am in a weekday. It is known that vehicle arrivals follow a Poisson process at this location. There is a single-loop detector embedded on this lane at the end of the interchange bridge. Since you do not want to go to the bridge to count vehicles at this time period, you decided to use the loop detector data for the analysis. Of the 720 20-second intervals (the loop detection system stores data every 20 seconds), 508 intervals were identified to have at least one vehicle detected. Assume the loop detector is free of error. Please estimate the vehicle arrival rate (vehicles per second) for this lane. With the estimated arrival rate, please calculate the probability of having three or more vehicles detected in a 20-second interval and the probability of having a headway shorter than 10 seconds.
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