Sure! Here is the transcription for an educational website:---### Understanding Benford's Law and the Fibonacci Sequence#### Benford's LawBenford's Law, also known as the first-digit law, states the probability distribution of the first significant digit in a number. The probability distribution is as follows:| **Digit** | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 || ------------ | ----- | ----- | ----- | ----- | ----- | ----- | ----- | ----- | ----- || **Probability**| 0.301 | 0.176 | 0.125 | 0.097 | 0.079 | 0.067 | 0.058 | 0.051 | 0.046 |#### The Fibonacci SequenceThe Fibonacci Sequence is a series of numbers where each number is the sum of the two preceding ones. It starts from 1 and 1, and continues as follows: 1, 1, 2, 3, 5, 8, 13, 21, ...#### Analysis of Fibonacci Sequence in Relation to Benford's LawThe distribution of the first significant digit of the first 85 numbers in the Fibonacci sequence is observed below. The table examines whether this distribution follows Benford’s Law [Hint: Goodness of Fit]:| **Digit** | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 || ------------ | -- | -- | -- | -- | -- | -- | -- | -- | -- || **Frequency**| 25 | 16 | 11 | 7 | 7 | 5 | 6 | 4 | 4 |#### Visual AnalysisThe first table provides the theoretical probabilities according to Benford’s Law, where the digit 1 appears as the first digit around 30.1% of the time, the digit 2 around 17.6% of the time, and so on.The second table shows the actual frequencies of the leading digits in the first 85 numbers of the Fibonacci Sequence. These frequencies can be compared to the expected probabilities from Benford’s Law to determine adherence through methods such as the goodness-of-fit test.---

The following table shows the digits along with their probabilities under Benford's Law, their…

Answered: Benford's Law states the probability…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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