The probability density function of a continuous random vari

The probability density function of a continuous random variable X is piecewise linear and is given by on which the marginal probability density functions is nonzero.

f(x,y) =                15y,     if x^2 y x,

                            0, otherwise.

Find the marginal probability density functions of X and Y . Your answer must include the region on which the marginal probability density functions is nonzero.

Solution