1.9 Suppose that X is a continuous random variable with a unique median a (see Example 1.5)....

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1.9 Suppose that X is a continuous random variable with a unique median a (see Example 1.5). Show that P(X ≤ x) < 1/2, x <

a, P(X ≤

a) = 1/2, and P(X ≤ x) > 1/2, x > a.

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