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Syntax errors occur in a student's programming project according to a Poisson process at a rate of 3 errors per every 50 lines of code.

Syntax errors occur in a student's programming project according to a Poisson process at a rate of 3 errors per every 50 lines of code. Assume the syntax errors occur independently of one another. What is the probability that there will be 7 syntax errors in 200 lines of code?

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