Consider two independent random variables X and Y . X has a Uniform distribution on the interval (0, 3). The probability density function of Y is given by fY (y) = y^2/9 0 < y < 3 0 otherwise
(a) Calculate P(X ÷ Y > 1).
(b) Calculate P(X + Y > 2).
(c) Calculate P(X × Y > 3)