If The Random Variable Z Is The Standard Normal Score And P(Z < A) < 0.5, Then A > 0. Why Or Why Not?
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Home › Mathematics › If The Random Variable Z Is The Standard Normal Score And P(Z < A) < 0.5, Then A > 0. Why Or Why Not?
No. The mean of the normal distribution is 0, so if z is < a, then a must be < 0. Conversely, if a > 0, then so must z be. In other words, they must be both positive or both negative.
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