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.fay (x, y) = c for x and y in the region. Determine the value for c such thatfay (x, y) is a joint probability density function. Round your answers to three decimal places (e.g. 98.765). Determine the following: c = i 0.133 (a) P(X < 0.6, Y < 0.7) = i (b) P(X < 0.6) = i

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