Benford’s Law of Numbers. Refer to the American Scientist (July-Aug. 1998) study of which...

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 2.20 (p. 38). 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.

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b. Find E(x).

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c. If possible, give a practical interpretation of E (x).

Exercise 2.20