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In: Statistics and Probability

The response time of a distributed computer system is an important quality characteristic. From previous experience,...

The response time of a distributed computer system is an important quality characteristic. From previous experience, it is known that the standard deviation of response time is 6.0 milliseconds and the sample average response time is 50.0 milliseconds.  

Assuming the response time follows a normal distribution, what is the probability that the response time is more than 57 milliseconds?

Answer tolerance: +/- 0.03

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