Let X, Y have the joint pdf for x? + y? 0, y > 0 fx,y O.w. where c is some constant. Question part 4: find fy (y), the marginal distribution of Y. (Answer choices are given in terms of c) O fy (y) =...

Extracted text: Let X, Y have the joint pdf for x? + y? < 1="" and="" x=""> 0, y > 0 fx,y O.w. where c is some constant. Question part 4: find fy (y), the marginal distribution of Y. (Answer choices are given in terms of c) O fy (y) = ;(1 – y²) for 0 <>< vi–="" z²,="" and="" 0="" otherwise="" o="" fy="" (y)="cxVI" –="" x²="" for="" 0=""><>< 1,="" and="" 0="" otherwise="" %3d="" o="" fr="" (y)="(1–" y²)="" for="" 0="">< v1="" –="" y?="" and="" 0="">< y=""><1, and="" o="" otherwise="" 1–="" y?="" o="" fxyr="" (x\y)="cx/1" –="" x2="" for="" 0="">< æ="">< v1="" –="" y²="" and="" 0="">< y=""><1, and="" 0="" otherwise="" x/1–="" x²="" 1="" –="" y?="" fx|r="" (x\y)="for" 0="">< x="">< 1="" and="" 0="">< 1,="" and="" o="" otherwise="" a/1–="" x²="" 1-="" y?="" fx[y="" (x|y)="" for="" 0="">< v1="" –="" y?="" and="" 0=""><1, and="" o="">