Question

: Let X be a random variable with cumulative distribution function F. The median of X is the value m for which F(m) = 1/2. Then X < m with

probability 1/2 and X > m with probability 1/2. Find m if X is (a) uniformly distributed over the interval [a, b]. (b) normally distributed with parameters u and o. (c) exponentially distributed with parameter A.

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