c=3, please help with the rest, thank you!
Extracted text: Let X, Y have the joint pdf Scx fxx = {0 for r? + y² <1 and="" x=""> 0, y > 0 0.w. where c is some constant. Question part 3: find fx (x), the marginal distribution of X. (Answer choices are given in terms of c) O fx(x)= cx/1- x² for 0 < x="">< 1,="" and="" 0="" otherwise="" o="" fx(x)="c(1" –="" y²)="" for="" 0="">< x="">< 1,="" and="" o="" otherwise="" o="" fx(x)="cx/1" –="" x²="" for="" 0="">< x="">< v/1="" –="" y?,="" and="" o="" otherwise="" |="" o="" fx(x)=";" (1="" –="" y?)="" for="" 0="">< x="">< v1-="" y²,="" and="" 0="" otherwise="" |="" question="" part="" 4:="" find="" fy="" (y),="" the="" marginal="" distribution="" of="" y.="" (answer="" choices="" are="" given="" in="" terms="" of="" c)="" fy="" (y)=";(1" –="" y²)="" for="" 0="">< y="">< 1,="" and="" o="" otherwise="" o="" fy="" (y)="c/1-" y²)="" for="" 0="">< y="">< vi-="" x²,="" and="" 0="" otherwise="" fy="" (y)=";(1" –="" y²)="" for="" 0="">
< v1–="" a²,="" and="" 0="" otherwise="" o="" fr="" (y)="cx" v1="" –="" x²="" for="" 0=""><>< 1,="" and="" 0="" otherwise="" for="" 0="">< y="">< 1,="" and="" o="" otherwise="" -="" question="" part="" 5:="" what="" is="" fxjy="" (x\y)="" x/1="" –="" x²="" -="" fxjr="" (x\y)="" for="" 0="">< x=""><1 and="" 0="">< y="">< 1,="" and="" o="" otherwise="" 1–="" y?="" -="" 2x="" fx\r(x\y)="" for="" 0="">< x="">< 1–="" y?="" and="" 0=""><><1, and="" 0="" otherwise="" 1="" –="" y?="" x/1="" –="" x²="" 1–="" y?="" fx}r="" (æ\y)="" for="" 0="">< x="">< v1="" –="" y²="" and="" 0="">< y=""><1, and="" o="" otherwise="" -="" o="" fx\y="" (x\y)="ca/1" –="" a²="" for="" 0="">< x="">< 1="" –="" y?="" and="" 0="">< y="">< 1,="" and="" 0="">