12. The median of a continuous random variable having distribution function F is that value m such...
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12. The median of a continuous random variable having distribution function F is that value m such that F(m) = 1/2. That is, a random variable is just as likely to be larger than its median as it is to be smaller. Find the median c if X is
(a) uniformly distributed over
(a, b);
(b) normal with parameters μ, σ2;
(c) exponential with rate λ.
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