In Example 5.12, a systematic sampling scheme was proposed for detecting hazardous wastes in landfills. How far
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a. Calculate the probability with which a contaminant will be detected. Hint: Consider three cases, with R < D, D ≤ R ≤ √ 2D, and R > √ 2D.
b. Propose a sampling design that gives a higher probability that a contaminant will be detected than the square grid, but does not increase the number of sampling points.
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