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

MATLAB: An Introduction with Applications
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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.

Round your answers to three decimal places (e.g. 98.765).
Determine the following:
 
b) E(Y|X=2)=
c) P(Y<2.1|X=2)=
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