9. If Z is a standard normal random variable, show that for x > 0, (a) P(Z

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9. If Z is a standard normal random variable, show that for x > 0,

(a) P(Z ≥ x) = P(Z ≤ -x);

(b) P(|Z| ≥ x) = 2P(Z > x);

(c) P(|Z| ≤ x) = 2P(Z ≤ x) - 1.

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