Benford's law states that in a very large variety of real-life data sets, the first digit approximately follows a particular dis
tribution with about a 30% chance of a 1, an 18% chance of a 2 and in general P(D=j)=log10(j+1/j), for j in {1,2,23,...,9}, where D is the first digit of a randomly chosen element. Check that this is a valid PMF (using properties f logs, not with a calculator).
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