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Frequencies and Probabilities of letter Occurrence The percentages shown in Exercise 33 are based on a very large sampling of English language text. Since they are based on experiment, they are "empirical" rather than "theoretical." By converting each percent in that table to a decimal fraction, you can produce an empirical probability distribution. For example, if a single letter is randomly selected from a randomly selected passage of text, the probability that it will be an E is 0.13. The probability that a randomly selected letter will be a vowel (A. E. I. O. or U) is
Rewrite the distribution shown in Exercise 33 as an empirical probability distribution. Give values to three decimal places. Note that the 26 probabilities in this distribution—one for each letter of the alphabet-should add up to 1 (except for. perhaps, a slight round-off error).
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