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Homework answers / question archive / Last year, at Northern Manufacturing Company, 200 people had colds during the year
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 1000 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?
What is the probability that an employee will have a cold next year?
There are 1000 employees and 200 had colds during the year. So, the probability that an employee will have a cold next year is
p=200/1000=0.20
b. Given that an employee is involved in an exercise program, what is the probability that he or she will ge a cold next year?
There are 1000 employees and 500 employees are involved in an exercise program. We know that 200-155=45 of the people with colds were involved in a weekly exercise program. So, we conclude that given that an employee is involved in an exercise program, the probability that he or she will ge a cold next year is
45/500=0.09
c. What is the probability that an employee who is not involved in an exercise program will get a cold next year?
p=200/1000=0.20
b. Given that an employee is involved in an exercise program, what is the probability that he or she will ge a cold next year?
There are 1000 employees and 500 employees are NOT involved in an exercise program. We know that 155 of the people with colds were NOT involved in a weekly exercise program. So, we conclude that the probability that an employee who is not involved in an exercise program will get a cold next year is
155/500=0.31
