(a) The random variables are continuous not discrete. The sample space is all points in the region bounded by the y-axes, the line y = 1 and the curve y = x^2.

(b) Integrate the f(x, y) over the sample space and set the integral equal to 1. Then solve for c.

(c) Apply the definitions and do the necessary calculations.

(d) Does f(x, y) = f(x) f(y)?

(e) Integrate f(x, y) over an appropriate region of the sample space.

If you need more help, please post all your work and say where you get stuck.