Let X be a random variable. Suppose that there exists a number m such that Pr(X m)

Question:

Let X be a random variable. Suppose that there exists a number m such that Pr(X m) < 1/2. Prove that m is the unique median of the of X.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...