Suppose that an alphabet has only 7 characters. The distribution for a fictional lan- guage, called Elsa, is

p = (0.01, 0.17, 0.15, 0.46, 0.02, 0.18, 0.01).

(a)Compute the measure of roughness for the Elsa language.

(b)We have text that was written in the Elsa language. It was encoded possible with the equivalent of a Caesar Cipher or a Vigenere Cipher for this language. Here is the distribution of the cipher text:

a = (0.12, 0.18, 0.15, 0.06, 0.2, 0.21, 0.08).

Do you believe that it was encoded with a Caesar Cipher or a Vigenere Cipher?

Explain.

(c)Compute the correlation between the text mentioned in part (b) and the Elsa language.