Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFs and expectations are well defined. E.g., when conditioning on X=x, assume that x is such that fx(x)>0. For each one of the following formulas, state whether it is true for all choices of the function g or false (i.e., not true for all choices of g).

Let X. Y. and Z oe iointly continuous random variable; Assume that all conditional PDFs and expettations are well dened. E.g.. when conditioning on X = e, assumethate is such that fxm) > 0. Foreach one of the iollowing formulas, state whether it is truerorall choices of the lunction g or false [i.e., not true for all thoices ofg). i. Select an option v E = fgulrvixuieldy Select an option v 3'1: g(Y)] = /E[g(Y) | z: z] fz(z) dz Select an option v \"E am W = e2 = z] = f9