using matlabIf the digits of π were random, then we would expect each of the integers to occur with approximately equal frequency in the decimal representation of π. In this problem we are going to see if the digits of π do indeed appear to be random.The first line of your script stores the first 100 digits of π in the vector pi_digits.Create a vector f50 such that f50(i) is equal to the frequency with which the integer i-1 appears among the first 50 digits of π.Execute the command bar(f50) to visualize the distribution of integers over the first 50 digits. Does the bar chart appear to suggest randomness?Create a vector f100 such that f100(i) is equal to the frequency with which the integer i-1 appears among the first 100 digits of π.Execute the command bar(f100) to visualize the distribution over the first 100 digits. Note that Matlab Grader will only display one plot at a time, so your earlier plot will be overwritten here. Does this bar chart appear to suggest randomness? What seems to be going on as we look at more and more digits?

Answered: using matlab If the digits of π were…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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using matlab

If the digits of π were random, then we would expect each of the integers to occur with approximately equal frequency in the decimal representation of π. In this problem we are going to see if the digits of π do indeed appear to be random.

The first line of your script stores the first 100 digits of π in the vector pi_digits.

Create a vector f50 such that f50(i) is equal to the frequency with which the integer i-1 appears among the first 50 digits of π.
Execute the command bar(f50) to visualize the distribution of integers over the first 50 digits. Does the bar chart appear to suggest randomness?
Create a vector f100 such that f100(i) is equal to the frequency with which the integer i-1 appears among the first 100 digits of π.
Execute the command bar(f100) to visualize the distribution over the first 100 digits. Note that Matlab Grader will only display one plot at a time, so your earlier plot will be overwritten here. Does this bar chart appear to suggest randomness? What seems to be going on as we look at more and more digits?

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