127 Benford’s Law of Numbers. American Scientist (July–Aug.

1998) conducted a study of which integer is most likely to occur as the first significant digit in a randomly selected number

(Benford’s law). 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 2 75 77 99 72 6 117 89 62 43 Total 743