t is a striking fact that the first digits of numbers in legitimate records often follow a distribution known as Benford's law. Here t is: First digit 1 2 3 4. 6. 7 8. 9. 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:

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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
1
3
4
5
7
8.
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:
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 1 3 4 5 7 8. 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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