# Question: w1 and w2 are discrete random variables and are independent...

###### Question details

W1 and W2 are discrete random variables (and are independent) with probability functions:

p1(w1) = 1/6 for w1 = −2 ,−1 , 0

p2(w2) = 1/4 for w2 = 1, 6

Let Y = W1 + W2

Find the distribution and probability mass function of Y (Hint: First find MGF of W1 and W2 and then find MGF of Y)