The position of a point A is defined from a point of observa- tion O by distance OA = D, and the angular deviation from a reference line OB. The mean error in estimating the distance is 100k per cent of the distance; the mean error in estimating the angular deviation is & radians. The error made in representing the point A on a chart obeys a normal tircular distribution with mean deviation r; the error in the position of the point O also obeys a normal circular distribution law with mean deviation R. Find the compound distribu- tion characterizing the error in position resulting from the representation of point A on the chart. How will the probability that point A lies in a rectangle of size 100 x 100 sq. m. change if D decreases from 20 to 10 km. (r = 20 m., R = 40 m., & = 0.003, k 0.005) ?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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The position of a point A is defined from a point of observa-
tion O by distance OA = D, and the angular deviation from a reference line
OB.
The mean error in estimating the distance is 100k per cent of the distance;
the mean error in estimating the angular deviation is & radians. The error made
in representing the point A on a chart obeys a normal tircular distribution with
mean deviation r; the error in the position of the point O also obeys a normal
circular distribution law with mean deviation R. Find the compound distribu-
tion characterizing the error in position resulting from the representation of
point A on the chart. How will the probability that point A lies in a rectangle
of size 100 x 100 sq. m. change if D decreases from 20 to 10 km. (r = 20 m.,
R 40 m., & = 0.003, k 0.005) ?
=
Transcribed Image Text:The position of a point A is defined from a point of observa- tion O by distance OA = D, and the angular deviation from a reference line OB. The mean error in estimating the distance is 100k per cent of the distance; the mean error in estimating the angular deviation is & radians. The error made in representing the point A on a chart obeys a normal tircular distribution with mean deviation r; the error in the position of the point O also obeys a normal circular distribution law with mean deviation R. Find the compound distribu- tion characterizing the error in position resulting from the representation of point A on the chart. How will the probability that point A lies in a rectangle of size 100 x 100 sq. m. change if D decreases from 20 to 10 km. (r = 20 m., R 40 m., & = 0.003, k 0.005) ? =
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