SOLUTION: 8 Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fiftyfive people who did no exercising had colds, and the remainder of the pe

Question 1193773: 8 Last year, at Northern Manufacturing Company, 200
people had colds during the year. One hundred fiftyfive 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 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
events? Explain your answer
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
500 exercised and 500 didn't, and the total is 1000
this is what you are given
----------C--------NC------Total
E------- 45-----------------500
NE------155---------------- 500
Total---200----------------1000

From that, you can fill out the rest of the table
----------C--------NC------Total
E------- 45-------455-------500
NE------155------345-------500
Total---200-------800------1000
a. 20%
b. 45/500 or 9%
c. 31%, assuming you can generalize the results to next year
d.If exercise and getting a cold are independent then the probability(E), 0.5, and probability(C), 0.2 equals the probability of P(E and C), which is 0.09.
0.10 NE 0.09, so not independent. They are dependent to some extent.
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