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...

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 overthe region 0 < x="">< 4,0="">< y,and="" x="" -="" 1="">< y="">< x+="" 1.="" that="" is="" fay="" ()="c" for="" xand="" y="" in="" the="" region.="" determine="" the="" value="" forcsuch="" thatfy="" (,="" y)="" is="" a="" joint="" probability="" density="" function.="" round="" your="" answers="" to="" three="" decimal="" places="" le.g.="" 98.765).="" determine="" the="">


Extracted text: Your answer is correct C = 0.133 Your answeris incorrect b) Conditional probability distribution of Ygiven X = 3 O fejx=3() = 0.5for2 < y="">< 4:0elsewhere="" o="" feix="2V)" =="" 0.33for="" 0="">< y="">< 3:0elsewhere="" o="" fex-2)="0.33for" 3="">< y="">< 6:0="" elsewhere="" o="" fyix="s)" =="" 0.25for="" 0="">< y="">< 4:0elsewhere="" your="" answer="" is="" correct="" b)="" e(y|x="3)" =="" 3="" *="" your="" answeris="" incorrect="" )="" p(y="">< 2.4|x="3)" =="">