1 Let X and Y be two continuous random variables with joint probability
density function
f(x, y) = 0.25x^2 + y/c; -1<= x
<= 1, 0; otherwise.

a) Compute the value of c.
b) Produce the marginal probability density function of Y.
c) Calculate P(X > 0,Y <1).
d) Calculate P(X>0|Y <1).
e) Calculate P(X + Y > 0).