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John Thurgood Founded a Company That Translates Chinese Books into English

question 109

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John Thurgood founded a company that translates Chinese books into English. His company is currently testing a computer-based translation service. Since Chinese symbols are difficult to translate, John assumes the computer program will make some errors, but then so do human translators. The computer error rate is supposed to be an average of 3 per 400 words of translation. Suppose John randomly selects a 1,200-word passage. Assuming that the Poisson distribution applies, if the computer error rate is actually 3 errors per 400 words, calculate the probability that more than 14 errors will be found.

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Definitions:

Economic Profit

The difference between a firm's total revenues and its total costs, including both explicit and implicit costs, representing the surplus value created by a firm beyond the normal return to its inputs.

Market Price

The current price at which an asset or service can be bought or sold in a public marketplace.

Colluded

When two or more parties come together, often in secret, to limit open competition by deceiving or defrauding others of their legal rights, or to obtain an objective forbidden by law typically by defrauding or gaining an unfair market advantage.

Demand Curve

A graphical representation of the relationship between the price of a good or service and the quantity demanded for a given period.

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