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A company that translates books between various languages is currently testing a computer-based translation service. The founder of the company expects the computer program to make some errors, but then so do human translators. The computer error rate is supposed to be an average of 2 per 500 words of translation. Suppose the company founder randomly selects a 3,000-word passage. Assume that the Poisson distribution applies and that the computer error rate is actually 2 errors per 500 words. Complete parts a through c.
a. Determine the probability that no errors will be found.
The probability is ___. Round to four decimal places as needed.)
b. Calculate the probability that more than 30 errors will be found.
The probability is ___. (Round to four decimal places as needed.)
c. Find the probability that fewer than 15 errors will be found.
The probability is ___. (Round to four decimal places as needed.)
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