The median, m, of a continuous variable with distribution function F is defined to
satisfy 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 m if X is
(a) uniformly distributed over [a, b];
(b) normal with parameters µ and σ^2
(c) exponential with parameter λ.
satisfy 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 m if X is
(a) uniformly distributed over [a, b];
(b) normal with parameters µ and σ^2
(c) exponential with parameter λ.