SOLUTION: In determining the range of an acoustic source using the triangulation method, the time at which the spherical wave front arrives at a receiving sensor must be measured accurately.

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Question 1177825: In determining the range of an acoustic source using the triangulation method, the time at which the spherical wave front arrives at a receiving sensor must be measured accurately. Measurement errors in these times can be modeled as possessing uniform probability distribution from −0.05 to 0.05 microseconds. What is the probability that a particular arrival time measurement will be in error by less than 0.01 microsecond? What does your answer
mean?
Thank you
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The pdf of the distribution is represented by
f%28x%29+=+1%2F%280.05-+-0.05%29+=+1%2F0.10+=+10, since it is uniform

Hence P%28X+%3C+0.01%29+=+10%2A%280.01--0.05%29+=+10%2A0.06+=+0.6.

What this means is that, the chance that the arrival time measurement error is at most 0.01 microsecond is 60%.