Question

for the joint p.d.f:
f(x,y)=c(x^2+y) ;0<=y<=1-x^2
0 ; elsewhere
determine the value of constant c

Answer 1

\[f(x,y)= c(x^{2}+y); 0\le y \le1-x^{2}\]

Answer 2

what are the bounds on x?

Answer 3

not given

Answer 4

just the above condition

Answer 5

I assume then at \(-1\le x\le 1\)