A spinner marked off in four equal-sized regions, numbered 1, 2, 3, and 4, is spun twice. Let the random variable X be the nonnegative difference between thenumbers of the regions where the pointer stops, and define a probability mass function g(x)=P(X=X).a) State the range of X.b) Write g as a set of ordered pairs.c) Draw a probability distribution as a histogram.d) Find g(3), and explain what this number represents.e) Find , and explain what this number represents.a) What is the range of X?OA. (1, 2, 3, 4, 5)OB. (1,2,3)O C. (0, 1, 2, 3)OD. (0, 1, 2, 3, 4, 5)b) Write g as a set of ordered pairs. Choose the correct answer below.462(0) ()1,(2) (376)161616OA.OB.O C.42(1.6) (2. 6) (3, 76)1616442(6) (2)96) (3, 76). (4, 76)16161616Next
