Problem $2\mathrm{.}2\mathrm{.}2)$ An inventor claims to have developed a device for storing arbitrary English text in computer memory; the device requires $1$ bit of memory for every $10$ Latin letters. The entropy of English has been estimated by researchers to be in the range $1-2$ bits per letter. The estimate takes account of the fact that some English letters are more likely than others and that successive letters in English text are highly depen dent. Given this estimate of the entropy of English, is the claim made by the inventor correct? Justify your answer.