Benford’s Law of Numbers. Refer to the American Scientist

(July–Aug. 1998) study of which integer is most likely to occur as the first significant digit in a randomly selected number

(Benford’s law), presented in Exercise 2.206

(p. 139).

The table giving the frequency of each integer selected as the first digit in a six-digit random number is reproduced here:

a. Construct a probability distribution for the first significant digit x.

b. Find E1x2.

c. If possible, give a practical interpretation of E1x2.

Transcribed Image Text:

First Digit Frequency of Occurrence 123456789 109 75 77 99 72 117 89 62 43 Total 743