Exercise

# Benford's Law for first digit

Benford's Law states that the probability that the first digit equals `d`

is approximately the logarithm of `(1 + 1/d)`

.
By plotting the expected frequencies, it will be clear that the digits 1,…,9 do not occur with equal frequency.

Instructions

**100 XP**

- Implement Benford's law as a function
`benlaw`

for the first digit using log base 10 . - Calculate the expected frequency for having 5 as a first digit.
- Create a dataframe with one column
`digit`

holding digits from 1 to 9, and one column`probability`

holding their respective probabilities under Benford's Law. - Click Submit Answer to plot the expected frequencies for the digits 1, 2, …, 9 in a barplot.