# Question

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.

(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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