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10. (10 points) A function f : R2 > R is called a probability density function on D C R2 if (i) ing) 2 0 for all (:c,y) e D and (ii) // f(x,y)dA = 1_ D k(1a:2y2) $2+y2gl a For what constant k is the function w, = a rob () f( y) {0 my\" p ability density function? Note that D = {(93, y) E R2 : 2:2 + y2 3 1}, the closed unit disk in R2. k $2+y2r2 is a robabilit densit function what must be the 0 x2 + y2 > 1'2 p y y (b) If f($= y) = value of k