ast 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 remainders of the people with colds were...

ast 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 remainders of the people with colds were involved in a weekly exercise program. Half of the 1,000 employees 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 exercise 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 event? Explain your answer.