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Show that the following function is a legitimate probability mass function. PX(x) = Pr(X = x) = (n/x) (2/3)^x (1/3)^n-x, x = 0,1 , 2

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Show that the following function is a legitimate probability mass function. PX(x) = Pr(X = x) = (n/x) (2/3)^x (1/3)^n-x, x = 0,1 , 2 ,..., n

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