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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.

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