(Answered) Question the distance between two points needs to be

Statistics

Question: The distance between two points needs to be measured, in meters. The true distance between the points is 10 meters, but due to measurement error we can't measure the distance exactly. Instead, we will observe a value of 10 +?, where the error ? is distributed N (0, 0.04). Find the probability that the observed distance is within 0.4 meters of the true distance (10 meters). Give both an exact answer in terms of and an approximate numerical answer.

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