PSTAT 109: Quiz 2 Winter 2014

PSTAT 109: Quiz 2

Winter 2014

Instructions: 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 statistician,

or 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 hurt

both a hip and a knee, 1 hurt both an arm and a knee, and no one hurt all three. Comment

on the accuracy of the report.