Proofreading. Typing errors in a text are either nonword errors (as whenthe is typed as

Chapter 0, Problem 13.5

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Proofreading. Typing errors in a text are either nonword errors (as whenthe is typed as teh) or word errors that result in a real but incorrect word.Spell-checking software will catch nonword errors but not word errors. Humanproofreaders catch 70% of word errors. You ask a fellow student to proofread anessay in which you have deliberately made 10 word errors.(a) If the student matches the usual 70% rate, what is the distribution of thenumber of errors caught? What is the distribution of the number of errors missed?(b) Missing 3 or more out of 10 errors seems a poor performance. What is theprobability that a proofreader who catches 70% of word errors misses exactly 3 outof 10? If you use software, also find the probability of missing 3 or more out of 10.

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