It is a striking fact that the first digits of numbers in legitimate records often follow a distribution known as Benford's law. Here it is: First digit 3 4 5. 6. 6. Proportion 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's luw holds, that among 1000 randomly chosen invoices there are 565 or fewer amounts with first digit 1, 2, or 3? Give your answer to four decimal places. probability:
It is a striking fact that the first digits of numbers in legitimate records often follow a distribution known as Benford's law. Here it is: First digit 3 4 5. 6. 6. Proportion 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's luw holds, that among 1000 randomly chosen invoices there are 565 or fewer amounts with first digit 1, 2, or 3? Give your answer to four decimal places. probability:
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:It is a striking fact that the first digits of numbers in legitimate records often follow a distribution known as Benford's law. Here
it is:
First digit
2.
3.
4
6.
Proportion
0.301
0.176
0.125
0.097
0.079
0.067
0.058
0.051
0.046
Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's law holds, that among
1000 randomly chosen invoices there are 565 or fewer amounts with first digit 1, 2, or 3? Give your answer to four
decimal places.
probability:
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