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. 5) a) How many possible ways are there to assign actual letters of the text to the encrypted letters in a message? (Hint: “A” could be assigned to any one of the 26 letters, including itself. Once “A” has been assigned, “B” can be assigned to any letter except the letter that corresponds to “A”). b) As your answer to part (a) makes clear, there are a super-high number of possible ways all the letters could be assigned. Knowing something about each letter’s relative frequency dramatically reduces the number of likely combinations. For example, if there were only 3 possible options for each encrypted letter in the message, then how many possible ways would there be to assign real letters to the letter in the encrypted message?
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.
5) a) How many possible ways are there to assign actual letters of the text to the encrypted letters in a message? (Hint: “A” could be assigned to any one of the 26 letters, including itself. Once “A” has been assigned, “B” can be assigned to any letter except the letter that corresponds to “A”).
b) As your answer to part (a) makes clear, there are a super-high number of possible ways all the letters could be assigned. Knowing something about each letter’s relative frequency dramatically reduces the number of likely combinations. For example, if there were only 3 possible options for each encrypted letter in the message, then how many possible ways would there be to assign real letters to the letter in the encrypted message?
![Letters Frequency Relative Fr Lower Bound Upper Bound
Q
5 0.000212 2.63984E-05 0.000398
Z
6
0.000254 5.08478E-05 0.000457
0.000719 0.000377282 0.001061
X
17
J
K
V
B
134 0.005669 0.004711853 0.006626
143 0.00605 0.005061402 0.007039
257 0.010873 0.009550911 0.012195
323 0.013665 0.012184948 0.015145
379 0.016034 0.014432707 0.017635
416 0.0176 0.015923667 0.019276
442 0.018699 0.017127129 0.020271
513 0.021703 0.020041148 0.023365
586 0.024792 0.022809723 0.026774
603 0.025511 0.023500926 0.027521
609 0.025765 0.023745207 0.027785
703 0.029742 0.027576348 0.031908
935 0.039557 0.037072109 0.042042
1097 0.04641 0.043728076 0.049092
1362 0.057622 0.054651246 0.060593
1381 0.058425 0.055434893 0.061415
1407 0.059525 0.05650864 0.062541
1503 0.063587 0.060476159 0.066698
1689 0.071456 0.068172171 0.07474
1810 0.076575 0.073184965 0.079965
2235 0.094555
0.090824791 0.098285
2237 0.09464 0.09090829 0.098372
2845 0.120362 0.11621383
0.12451
23637
Puus
C
W
M
Y
F
U
L
D
R
||
SZIATO
N
H
E
SUM](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F410446df-c1d8-43a9-b798-dc6126c2feb5%2F26836842-709a-459b-8660-9d5c0a15c0a3%2F0cwkgxl_processed.png&w=3840&q=75)
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