PSTAT 109: Quiz 2Winter 2014Instructions: Please show all work in an organized fashion for full credit.Problem 1. Find C1 [ C2 and C1 C2 if(a) C1 = f0; 1; 2g C2 = f2; 3; 4g;(b) C1 = fx : 0 < x < 2g C2 = fx : 1 x < 3g.Problem 2. Suppose our sample space is f(x; y) : x2 + y2 1g. What is the complement of the set/event A = f(x; y) : x2 + y2 = 1g?Problem 3. To join a certain club a person must be either an economist or a statisticianor both. Of the total members in this club 76% are economists and 64% are statisticians.What percentage of persons in the club are both an economist and a statistician?Problem 4. After a hard-fought football game it was reported that of the 11 starting players 8 hurt a hip 6 hurt an arm 5 hurt a knee 3 hurt both a hip and an arm 2 hurtboth a hip and a knee 1 hurt both an arm and a knee and no one hurt all three. Commenton the accuracy of the report.