For random variables X and R defined in Example 2.5, find PX (x) and PR(r). In addition, find the following probabilities:
(a) P[X = 0]
(b) P[X
(c) P[R > 1]
Example 2.5
Suppose we observe three calls at a telephone switch where voice calls (v) and data calls (d) are equally likely. Let X denote the number of voice calls, Y the number of data calls, and let R = XY. The sample space of the experiment and the corresponding values of the random variables X, Y, and R are