St below using the concept of Benford's Law ate this law. Flow will be like this: _array = 1 to 1000 ntains the power-of-2 (2^n) for each number in the n_array (from p_array), and then sum-up all that starts at 1s, 2s, 3s,...,9s. the diagram below. ng to Benford's law. Each bar represents a digit, and the height of the bar is the percentag 5 6 7 8 9
St below using the concept of Benford's Law ate this law. Flow will be like this: _array = 1 to 1000 ntains the power-of-2 (2^n) for each number in the n_array (from p_array), and then sum-up all that starts at 1s, 2s, 3s,...,9s. the diagram below. ng to Benford's law. Each bar represents a digit, and the height of the bar is the percentag 5 6 7 8 9
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Language: Python
note: Benford's law of anomalous numbers states that generally, in naturally occurring collections of numbers, the leading digit is likely to be small.
![Problem 2.3 Benford's Law
keyword: array, matplotlib
Write a program that generates the plot below using the concept of Benford's Law
We will use power-of-two to demonstrate this law. Flow will be like this:
1. Using powers of 2, generate an n_array = 1 to 1000
2. then generate a p_array that contains the power-of-2 (2^n) for each number in the n_array
3. Take the first digit of each result (from p_array), and then sum-up all that starts at 1s, 2s, 3s,..,9s.
4. Finally, generate a plot similar to the diagram below.
Example Diagram:
The distribution of first digits, according to Benford's law. Each bar represents a digit, and the height of the bar is the percentage of numbers
that start with that digit.
Ilya
35
30
25
20
15
10
5
0
1 2 3 4 5 6 7 8 9
k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfbbf43f-b5c2-4d87-8106-243aab91da52%2F75ed3df3-f0e7-41fd-8fe4-a3ad8d165999%2Fn5v1uhb_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 2.3 Benford's Law
keyword: array, matplotlib
Write a program that generates the plot below using the concept of Benford's Law
We will use power-of-two to demonstrate this law. Flow will be like this:
1. Using powers of 2, generate an n_array = 1 to 1000
2. then generate a p_array that contains the power-of-2 (2^n) for each number in the n_array
3. Take the first digit of each result (from p_array), and then sum-up all that starts at 1s, 2s, 3s,..,9s.
4. Finally, generate a plot similar to the diagram below.
Example Diagram:
The distribution of first digits, according to Benford's law. Each bar represents a digit, and the height of the bar is the percentage of numbers
that start with that digit.
Ilya
35
30
25
20
15
10
5
0
1 2 3 4 5 6 7 8 9
k
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