see attached .........................................................................................................................

Question 3: Two continuous random variables X and Y are described by the pdf: _k, ifO slxl 33'. 03M 31 736305.37) 0' otherwise where k is a constant. a) Find k. b) Are Xand Yindependent? c) Are Xand Yuncorrelated? Question 4: Two continuous random variables X and Y are described by the pdf 1 c, i x+ S f|| lyl E 0, otherwise fXY(x-3') = where c is a constant. a) Find c. b) Find fX(x) and E[X]