Refer to the American Scientist (July-Aug. 1998) study of which integer is most likely to occur as
Question:
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. 111). The table giving the frequency of each integer selected as the first digit in a six-digit random number is reproduced here:
First Digit ................................................ Frequency of Occurrence
...............................................................109
2...................................................................75
3...................................................................77
4...................................................................99
5...................................................................72
6...................................................................117
7...................................................................89
8...................................................................62
9...................................................................73
Total......................................................... 743
a. Construct a probability distribution for the first significant digit x.
b. Find E(x).
c. If possible, give a practical interpretation of E(x).
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The frequency of first digit in a sixdigit random number is as follows Table 1 The da...View the full answer
