Answered: RFID vehicle sticker for ETC passage in…

Engineering

Civil Engineering

RFID vehicle sticker for ETC passage in a toll gate with a probability of 0.01,

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter4: Traffic Engineering Studies

Section: Chapter Questions

Problem 8P

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Concept explainers

Highway Surveys and Location

Surveying is an operation in the civil engineering domain that requires collecting and identifying data regarding an area of land and topography. The data that is collected can be helped to plan and undertake the construction process. Civil engineers perform surveys to gather three-dimensional information regarding a particular area. Engineers specify several points on the surface of the earth and relationship between points, and the distance and angles between the points are evaluated. The data from this evaluation guides in drawing plans regarding buildings and structures.

Question

Problem 1: Supposed a transport company manufactured a special RFID vehicle sticker for ETC passage in a toll gate with a probability of 0.01, independently across vehicle stickers.

1.1. What is the probability that there are no more than 2 RFID vehicle stickers in a set of 100 RFID vehicle stickers.

1.2. How many RFID stickers do need to purchase to make sure that with a 95% probability you will find at least one RFID among the set.

1.3. What probability should the manufacturer employ to make an RFID sticker so that the chance that a car owner finds at least one RFID sticker in a set of 100 RFIDs is recuced to 0.01?

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