The first digits of data entries in most real-world data sets are not uniformly by distributed. The most common first digit is 1, followed by 2, and so on, with 9 being the least common first digit. This phenomenon is
known as Benford's Law.
The table below is the probability distribution for Benford's Law where the random variable D represents
the first digit in a data entry.
DP(D) DP(D)
1 0.301 6 0.067
B
2
0.176
0.058
3
0.125
8
0.051
4
0.097
9
0.046
5 0.079
What is the probability that a randomly selected data entry has a first digit greater than 7?
P(first digit greater than 7) =