You should provide the program that you write. Specifically, let X, Y, Z be random variables. We want the output of the program to produce (X, Y, Z) such that following four properties simultaneously hold: . The random variables X, Y, Z are Bernoulli (i.e., binary-valued). P[X = 1] = 1/4, P[Y = 1] = 1/8, P(Z = 1] = 1/16. . The events {X = 1}, {Y = 1}, {Z = 1} are pairwise independent. P[{X = 1} n{Y = 1} n {Z = 1}] = 0. b) Write a paragraph to explain how you might verify that your program is working correctly. You should provide the program that you write. Specifically, let X, Y, Z be random variables. We want the output of the program to produce (X, Y, Z) such that following four properties simultaneously hold: . The random variables X, Y, Z are Bernoulli (i.e., binary-valued). P[X = 1] = 1/4, P[Y = 1] = 1/8, P(Z = 1] = 1/16. . The events {X = 1}, {Y = 1}, {Z = 1} are pairwise independent. P[{X = 1} n{Y = 1} n {Z = 1}] = 0. b) Write a paragraph to explain how you might verify that your program is working correctly