Afair four-sided die has two faces numbered 0 and two faces numbered 2. another fair four-sided die has its faces numbered 0, 1, 4, and 5. the two dice are rolled. let x and y be the respective outcomes of the roll. let w = x + y. a. determine the pmf of w. b. draw a probability histogram of the pmf of w.

The two dice have PMFs

The sum of the two rolls can take on 8 different values:

The outcome of either roll is independent of the other, so that

a. Then PMF of is

b. The histogram is nothing special, same as the discrete uniform distribution over the interval [0, 7].

c-4 is the final answer! : )

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: