In an automatic geolocation system, a dispatcher sends a message to six trucks in a fleet asking their locations. The waiting times for responses from the six trucks are iid exponential random variables, each with expected value 2 seconds. a) What is the probability that all six responses will arrive within 5 seconds? b) If the system has to locate all six vehicles within 3 seconds, it has to reduce the expected response thime of each vehicle. What is the maximum expected response time that will produce a location time for all six vehicles of 3 seconds or less with probaility of at least 0.9?
In an automatic geolocation system, a dispatcher sends a message to six trucks in a fleet asking their locations. The waiting times for responses from the six trucks are iid exponential random variables, each with expected value 2 seconds. a) What is the probability that all six responses will arrive within 5 seconds? b) If the system has to locate all six vehicles within 3 seconds, it has to reduce the expected response thime of each vehicle. What is the maximum expected response time that will produce a location time for all six vehicles of 3 seconds or less with probaility of at least 0.9?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
In an automatic geolocation system, a dispatcher sends a message to six trucks in a fleet asking their locations. The waiting times for responses from the six trucks are iid exponential random variables, each with
a) What is the
b) If the system has to locate all six vehicles within 3 seconds, it has to reduce the expected response thime of each vehicle. What is the maximum expected response time that will produce a location time for all six vehicles of 3 seconds or less with probaility of at least 0.9?
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