In a symmetric distribution, the probability of obtaining a z-score above 3 is exactly the same as the probability of obtaining a z-score below -3.

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Quizplus · Accepted Answer

This is true because a symmetric distribution has equal probabilities on both sides of the mean, and a z-score of -3 is the same distance from the mean as a z-score of 3 but on the opposite side. Therefore, the probabilities of obtaining a z-score above 3 and a z-score below -3 are equal.

In a Symmetric Distribution, the Probability of Obtaining a Z-Score