Which of the following probabilities is the greatest for a standard normal distribution?

Each choice gives the probability that a standard normal value falls in an interval of width 1. The standard normal curve is highest around 0, so the interval from −0.5 to 0.5 captures more area than intervals of the same width farther from 0. Therefore, the greatest probability is choice A, the probability that −0.5 ≤ z ≤ 0.5.

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