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# A spinner marked off in seven equal-sized regions, numbered 1, 2, 3, 4, 5, 6, and 7, is spun twice.

A spinner marked off in seven equal-sized regions, numbered 1, 2, 3, 4, 5, 6, and 7, 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(5), and explain what this number represents. e) Find μ, and explain what this number represents.