A spinner marked off in five equal-sized regions, numbered 1, 2, 3, 4, and 5, is spun twice. Let the random variable X be the nonnegative difference between the numbers 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(2), and explain what this number represents. e) Find u, and explain what this number represents. O c. 1 , 8 6 2 25 2, 25 3 , 25 4 , 25 5 , 25 O D. (1 28) . (2. 2 |3 , 25 4 , 25 c) Which of the following is the correct histogram of the probability distribution? O A. O B. O C. OD. Ay N/ - N/ - N/ - N/ - X X 0 2 3 4 2 3 4 5 0 1 2 3 4 0 1 2 3 4 d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice