Two methods of measuring surface smoothness are used to evaluate a paper product The measurements are recorded as deviations from the nominal surface smoothness in coded units The joint probability distribution of the two measurements is a uniform distribution over the region 0 x 4, 0 y, and x 1 y x 1 That is, fXY (x, y) c for x and y in the region Determine the value for c such that fXY (x, y) is a joint probability density function

Question: Two methods of measuring surface smoothness are used to evaluate a paper product. The measurements are recorded as deviations from the nominal surface smoothness in

Two methods of measuring surface smoothness are used to evaluate a paper product. The measurements are recorded as deviations from the nominal surface smoothness in coded units. The joint probability of the two measurements is a uniform over the region 0 < x < 4, 0 < y, and x – 1 < y < x + 1. That is, fXY (x, y) = c for x and y in the region. Determine the value for c such that fXY (x, y) is a joint probability density function.

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