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2.2 Use the rule method to describe the sample space S consisting of all points in the first quadrant inside a cirele of radius 3 with center at the origin.

2.4 An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, describe the sample space S (a) by listing the elements (x, y); (b) by using the rule method.

2.6 Twojurors are selected from 4 alternates to serve at a murder trial. Using the notation A1A3, for exam- ple, to denote the simple event that alternates 1 and 3 are selected, list the 6 elements of the sample space S

2.8 For the sample space of Exercise 2.4 (a) list the elements corresponding to the event A that the sum is greater than 8; (b) list the elements corresponding to the event B that a 2 occurs on either die; (c) list the elements corresponding to the event C that a number greater than 4 comes up on the green die (d) list the elements corresponding to the event AnC; (e) list the elements corresponding to the event AnB; (f) list the elements corresponding to the event Bnc; (g) construct a Venn diagram to illustrate the intersec- tions and unions of the events A, B, and C.

2.12 Exercise and diet are being studied as possi- ble substitutes for medication to lower blood pressure Three groups of subjects will be used to study the ef- fect of exercise. Group 1 is sedentary, while group 2 walks and group 3 swims for 1 hour a day. Half of each of the three exercise groups will be on a salt-free diet An additional group of subjects will not exercise or re- strict their salt, but will take the standard medicatiorn Use Z for sedentary, W for walker, S for swimmer, Y for salt, N for no salt, M for medication, and F for medication free (a) Show all of the elements of the sample space S.

(b) Given that A is the set of nonmedicated subjects and B is the set of walkers, list the elements of AUB (c) List the elements of An B.

2.14 If S0,1,2,3,4,5,6,7,8,9} and A [0,2, 4,6,8], B-1,3,5,7,9}, C 2,3, 4,5), and 0 D = {1,6,7}, list the elements of the sets correspond- ing to the following events: (a) AUC; (b) AnB (c) C (d) (Cn D)UB; e) (Sncy; (f) AnCn D

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