Let \(\mu \) be a non-atomic Borel probability measure on \(\mathbb R\). Prove that there exists \(A\subset \mathbb R\) with \(\mu (A)=\frac 12\).
Question
Math 6210 • Real Analysis
Summer 2017 • Question 2
Question
Summer 2017 • Question 2
Let \(\mu \) be a non-atomic Borel probability measure on \(\mathbb R\). Prove that there exists \(A\subset \mathbb R\) with \(\mu (A)=\frac 12\).