Benford's Law states the probability distribution (below) of the first significant digit in a number. Digit Probability 1 2 3 4 5 6 7 8 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 The Fibonacci Sequence, found in the number of pedals on a pine cone, the number of seeds on a sun- flower and many other places in nature is 1, 1, 2, 3, 5, 8, 13, 21... The next number in the sequence is found by summing up the previous two numbers. The distribution of the first significant digit of the first 85 numbers in the sequence is below. Does this distribution follow to Benford's Law? [Hint: Goodness of Fit] 1 Digit 2 3 Frequency 25 16 11 4 5 6 7 7 5 9 0.046 7 8 9 4 6 4
Benford's Law states the probability distribution (below) of the first significant digit in a number. Digit Probability 1 2 3 4 5 6 7 8 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 The Fibonacci Sequence, found in the number of pedals on a pine cone, the number of seeds on a sun- flower and many other places in nature is 1, 1, 2, 3, 5, 8, 13, 21... The next number in the sequence is found by summing up the previous two numbers. The distribution of the first significant digit of the first 85 numbers in the sequence is below. Does this distribution follow to Benford's Law? [Hint: Goodness of Fit] 1 Digit 2 3 Frequency 25 16 11 4 5 6 7 7 5 9 0.046 7 8 9 4 6 4
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 1PTTS
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