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 + student submitted image, transcription available below, where
the error student submitted image, transcription available below 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 student submitted image, transcription available below and an approximate numerical answer.