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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 520 and a standard deviation of

For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 520 and a standard deviation of 170. The grading process of this year's has just begun. The average score of the 40 graded so far is 502. What is the probability that a sample of 40 will have a mean score of 502 or more if the scores follow the same distribution as in the past.

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