(e) For 0

Extracted text: (e) For 0 < x="">< 1="" marginal="" probability="" distribution="" of="" x="" is="" ох-1="" 16,="" -for="" 0="">< x="">< 1;for="" 1="">< x="">< 4;="" 0elsewhere="" 45="" 7.5="" o="" 2="" for="" 0="">< x="">< 1;-for="" 1="">< x="">< 4;="" 0elsewhere="" 15="" 13="" 45="" o="" x+1="" -for="" 0="">< x="">< 1;¬nfor="" 1="">< x="">< 4;oelsewhere="" 12="" o="" x+1="" for="" 0="">< x="">< 1;-="" 7.5="" 4="" -for="" 1="">< x="">< 4;0="" elsewhere="" 15="" 11="" 4="" -for="" 0="">< x="">< 1;for="" 1="">< x="">< 4;="" 0elsewhere="" 15="">


Extracted text: 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,="" fry="" (x,="" y)="c" for="" x="" and="" y="" in="" the="" region.="" determine="" the="" value="" for="" c="" such="" thatfy="" (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" (c)="" e(x)="i" (d)="" e(y)="">