Land-survey details show height variations (with respect to mean sea-level, MSL) of a terrain at ten bench-marked locations, i = 1, 2, …,10. The measured height, Hi (in meters) depicts the RV and number of measurements in the vicinity of each bench-mark is indicated by, ni. The terrain gradient profile is such that the measured heights at each location depends on neighboring site sequenced along i = 1 to 10


Probability distribution Properties

(1) Normalization Property:
[tex]Σ \: i = 1,2....N \\ \\ p(x_{i}) = 1 \\ \\ {∫}^{2}_{1}[ p(x)dx] = 1[/tex]
(2) Expected Value Property:

Expected Mean Discrete variable xi​