= + + (the events are P(1) P(2) P(3) mutually exclusive) <ART FILE="02_17eq03.eps" W="91pt" H="21.343pt" XS="100%" YS="100%"/> = 0.38 + 0.14 + 0.02 = 0.54 2-18. Exercise No Exercise Total Cold 45 155 200 No cold 455 345 800 Total 500 500 1000 a. The probability that an employee will have a cold next year is <ART FILE="02_18eq01.eps" W="150.109pt" H="22.568pt" XS="100%" YS="100%"/> = .20 b. The probability that an employee who is involved in an exercise program will get a cold is <ART FILE="02_18eq04.eps" W="23.779pt" H="20.821pt" XS="100%" YS="100%"/> = .09 c. The probability that an employee who is not involved in an exercise program will get a cold is <ART FILE="02_18eq06.eps" W="22.598pt" H="19.68pt" XS="100%" YS="100%"/> = .31 d. No. If they were independent, then  = but P(C E) P(C), <ART FILE="02_18eq08.eps" W="50.985pt" H="20.314pt" XS="100%" YS="100%"/> = 0.2 Therefore, these events are dependent. The probability of winning tonight’s game is 2-19. <ART FILE="02_19eq02.eps" W="16.86pt" H="19.109pt" XS="100%" YS="100%"/> = 0.6
= P(1) + P(2) + P(3) (the events are mutually exclusive) <ART FILE="02_17eq03.eps" W="91pt" H="21.343pt" XS="100%" YS="100%"/> = 0.38 + 0.14 + 0.02 = 0.54 2-18. Exercise No Exercise Total Cold 45 155 200 No cold 455 345 800 Total 500 500 1000 a. The probability that an employee will have a cold next year is <ART FILE="02_18eq01.eps" W="150.109pt" H="22.568pt" XS="100%" YS="100%"/> = .20 b. The probability that an employee who is involved in an exercise program will get a cold is <ART FILE="02_18eq04.eps" W="23.779pt" H="20.821pt" XS="100%" YS="100%"/> = .09 c. The probability that an employee who is not involved in an exercise program will get a cold is <ART FILE="02_18eq06.eps" W="22.598pt" H="19.68pt" XS="100%" YS="100%"/> = .31 d. No. If they were independent, then P(C  E) = P(C), but <ART FILE="02_18eq08.eps" W="50.985pt" H="20.314pt" XS="100%" YS="100%"/> = 0.2 Therefore, these events are dependent. 2-19. The probability of winning tonight’s game is <ART FILE="02_19eq02.eps" W="16.86pt" H="19.109pt" XS="100%" YS="100%"/> = 0.6
Solution-Manual-for-Quantitative-Analysis-for-Management-12th-edition-by-Barry-Render.docx