Suppose your friend types very accurately, making a typographical error in only 1 out of every 2500

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Suppose your friend types very accurately, making a typographical error in only 1 out of every 2500 words.
a. In a 10,000-word essay, what is the probability that he makes exactly 3 errors? Use the binomial model to answer this question.
b. Briefly explain why it is appropriate to answer the above question using the Poisson approximation.
c. Answer Part A using the Poisson probability model. How do your two answers compare?
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