X = 12 because x+3 is equal to 15
Answer:
9216
Step-by-step explanation:
number of small cubes that would fill the prism = volume of prism / volume of small cubes
volume of a prism = length x width x height
3 x 6 x 8 = 144
volume of cube = length³
(1/4)³ = 1/64
144 ÷ 1/64
144 x 64 = 9216
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].
I believe the answer to your question would be x = -y + 2