The data file includes the text of three books of the Bible (Joshua, Jonah and Philippians) using the ESV translation. While these are all great books, our only interest for this project is how often each letter is used. 4) The previous analysis could be useful if our goal was to decipher an encrypted message, where each letter is scrambled (for example, each “a” might become a “g”, while each “b” might become an “o” and so forth). a) Assume that the letter “z” in encrypted message has a relative frequency of 0.06 (it accounts for 6% of the total number of letters). Which letter’s Confidence Intervals from question 3 contain 0.06 and thus are the most likely candidates to be the letter which was encrypted as “z”? b) Further assume that “y” in the encrypted message has a relative frequency of 0.04 (4%). Which letter’s question CIs contain 0.04? c) If “x” in the encrypted message has a relative frequency of 0.02 (2%), which letter’s question 3 CIs contain 0.02? Letters Frequency Relative Fr Lower Bound Upper BoundQ5 0.000212 2.63984E-05 0.000398Z60.000254 5.08478E-05 0.0004570.000719 0.000377282 0.001061X17JKVB134 0.005669 0.004711853 0.006626143 0.00605 0.005061402 0.007039257 0.010873 0.009550911 0.012195323 0.013665 0.012184948 0.015145379 0.016034 0.014432707 0.017635416 0.0176 0.015923667 0.019276442 0.018699 0.017127129 0.020271513 0.021703 0.020041148 0.023365586 0.024792 0.022809723 0.026774603 0.025511 0.023500926 0.027521609 0.025765 0.023745207 0.027785703 0.029742 0.027576348 0.031908935 0.039557 0.037072109 0.0420421097 0.04641 0.043728076 0.0490921362 0.057622 0.054651246 0.0605931381 0.058425 0.055434893 0.0614151407 0.059525 0.05650864 0.0625411503 0.063587 0.060476159 0.0666981689 0.071456 0.068172171 0.074741810 0.076575 0.073184965 0.0799652235 0.0945550.090824791 0.0982852237 0.09464 0.09090829 0.0983722845 0.120362 0.116213830.1245123637PuusCWMYFULDR||SZIATONHESUM

Solution: In the given problem, the relative frequencies and confidence intervals for the different…

Answered: Letters Frequency Relative Fri Lower…

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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Question

The data file includes the text of three books of the Bible (Joshua, Jonah and Philippians) using the ESV translation. While these are all great books, our only interest for this project is how often each letter is used.

4) The previous analysis could be useful if our goal was to decipher an encrypted message, where each letter is scrambled (for example, each “a” might become a “g”, while each “b” might become an “o” and so forth).

a) Assume that the letter “z” in encrypted message has a relative frequency of 0.06 (it accounts for 6% of the total number of letters). Which letter’s Confidence Intervals from question 3 contain 0.06 and thus are the most likely candidates to be the letter which was encrypted as “z”?

b) Further assume that “y” in the encrypted message has a relative frequency of 0.04 (4%). Which letter’s question CIs contain 0.04?

c) If “x” in the encrypted message has a relative frequency of 0.02 (2%), which letter’s question 3 CIs contain 0.02?