ASSIGNMENT 1 PROBLEM 3 --- Remark This a step towards the monotone class theorem. PROBLEM 4 --- Correction Show that a distribution function has at most *countably* many discontinuities (not "finitely many"). Also, it should read "F(x)=P(X\le x)". Hint: Exploit the monotonicity of F. PROBLEM 5 --- Correction In Part (b), add "when X has a standard normal distribution".