Problem
Let X be a random variable that takes values from 0 to 9 with equal probability 1/10.
(a) Find the PMF of the random variable Y = X mod(3).
(b) Find the PMF of the random variable Y = 5 mod(X + 1).
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.