\\ 1 \\ l 1) We know that A O B means both events occur and A U B means at least one of the two events occurs. In the same fashion, give a onesentence interpretation of event C. 2) Show that 13(0) = P(A) + 13(3) 2P(A n B) Problem 3: (Property of Exponential Distribution) We say that the distribution of random variable X follow exponential distribution with parameter A if: F(a)=1e_'\\a fora>0andF(a)=0formS0. Prove the following results: for any s,t > O, we have P(X > s + t) = P(X > 5)P(X > t)