Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty- five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1,000 em- ployees were involved in some type of exercise. (a) What is the probability that an employee will have a cold next year? (b) Given that an employee is involved in an exer- cise program, what is the probability that he or she will get a cold next year? (c) What is the probability that an employee who is not involved in an exercise program will get a cold next year? (d) Are exercising and getting a cold independent events? Explain your answer.

A First Course in Probability (10th Edition)
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Last year, at Northern Manufacturing Company, 200
people had colds during the year. One hundred fifty-
five people who did no exercising had colds, and the
remainder of the people with colds were involved in
a weekly exercise program. Half of the 1,000 em-
ployees were involved in some type of exercise.
(a) What is the probability that an employee will
have a cold next year?
(b) Given that an employee is involved in an exer-
cise program, what is the probability that he or
she will get a cold next year?
(c) What is the probability that an employee who is
not involved in an exercise program will get a
cold next year?
(d) Are exercising and getting a cold independent
events? Explain your answer.
Transcribed Image Text:Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty- five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1,000 em- ployees were involved in some type of exercise. (a) What is the probability that an employee will have a cold next year? (b) Given that an employee is involved in an exer- cise program, what is the probability that he or she will get a cold next year? (c) What is the probability that an employee who is not involved in an exercise program will get a cold next year? (d) Are exercising and getting a cold independent events? Explain your answer.
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