Problem 2: Compare Markov's inequality with the Chernoff bound by repeating (2H4) of Problem 1 using the Cherno bound instead of Markov's inequality. Hint: Some students have remarked that the Chernoff bound supplied here does not appear like the one in Problem 1. This is correct, but it's easy to make it work: Pr(|A| 2 B) = mm 2 B) +Pr(A 2 B 2 Pr(A 2 B) provided that B 7 0. Applying this simple manipulation to the Chernoff bound allows one to make it look exactly like Markov's inequality"