Chapter 5, Problem 5.13TE

The median of a continuous random variable having distribution function F is that value m such that $F\left(m\right)=\frac{1}{2}$. That is, a random variable is just as likely to be larger than its median as it is to be smaller.

Find the median of X if a. uniformly distributed over (a,b);

b. normal with parameters $\mu ,{\sigma }^2$;

c. exponential with rate $\lambda$.