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).
1 answer:
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[ Answer ]
[ Explanation ]
- Simplify: 5(x + 3)(x + 2) - 3(x2 + 2x + 1)
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- Add Similar Elements: 2x + 2x = 4x
5(x + 3)(x + 2) - 3(4x + 1)
- Expand: 5(x + 3)(x + 2) - 3(4x + 1):
+ 25x + 30
+ 25x + 30 - 3(4x + 1)
- Expand: - 3(4x + 1): -12x - 3
+ 25x + 30 - 12x - 3
- Simplify:
= + 13x + 27