Consider the following two experiments: the first has outcome [math]X[/math] taking on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome [math]Y[/math] taking on the value 3 with probability 1/4 and 4 with probability 3/4. Find the distribution of

• [math]Y + X[/math].
• [math]Y - X[/math].