[See Solution] Global Positioning Systems(GPS), using satellites, can determine the latitude, longitude, and altitude of a GPS sensor on the ground with
Question: Global Positioning Systems(GPS), using satellites, can determine the latitude, longitude, and altitude of a GPS sensor on the ground with great accuracy. Suppose that the errors, X, Y, and Z(in meters) in these coordinates are independent, normally distributed random variables with mean 0 and standard deviation 1. What is the probability that the overall GPS position in three-dimensional space is accurate to within 1 meter?
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