2. A real number a: is a median for the distribution of a r.v. X if the following two equations hold: P{X 2m}: 1/2 P{X 5m}: 1/2. (a) Find all medians of a Bernoulli distribution with mean ,0 1/2. (d) Find all medians of an exponential distribution with mean 1/2. Which is bigger the mean or the median? (e) Suppose X is a continuous-type r.v.. Prove or disprove: the median of X is unique