Leave X alone an arbitrary variable witn pdt (x) = 4>-3 it O < x < 1 and zero othenvise. utilize the total

(CDF) method to decide the pdt ot each ot the accompanying irregular factors:

(d) U-(X 0.5)2.

46..

Let X and Y nave joint pdf t(x, y) = 4e-2(x * < x <

(a) Find tne CDF ot w=X+ Y.

(b) Find the joint pdf ot = XIV and V = X.

(c) Find the negligible pdf ot U.

m , and zero otnemise.

47..

Let X and Y nave joint pdf e-Y; O < x < y < and zero othenvise.

(a) Find the joint pdf ot S = X + Yand T = X

(b) Find the minor pdf ot T.

(c) Find the minor pdf ot S.

48..

Leave Xl and X2 alone a randam Sample ot Size n = 2 trom a constant dispersion with pdf ot the

torm t(x) = 21 If O < x < 1 and zero in any case.

(a) Find the negligible pdfs ot the littlest and biggest request measurements, Yl and Y2.

(b) Find the joint pdf ot VI and Y2_

(c) Find the pdt of the example range R