2. From a box containing 2 inductors and 4 capacitors, 3 passive elements are selected without

replacement. Let X be a random variable that represents the number of selected capacitors

and Y be the random variables representing the number of selected inductors. Determine the

following functions

(a) the PDF of X

(b) the PDF of Y

(c) the joint PDF of X and Y

(d) conditional PDF of X given Y=1