5.9. Show that Z is a standard normal random variable; then, 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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5.9. Show that Z is a standard normal random variable;
then, 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.
Transcribed Image Text:5.9. Show that Z is a standard normal random variable; then, 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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