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

Fig: 1