Question 229120: The table below descrives the smoking habits of a group of asthma sufferers.
Nonsmoker Light smoker Heavy smoker Total
(N) (L) (H)
Men 368 86 87 541
Women 328 83 86 497
Total 696 169 173 1038
If one of the 1038 sujects is randomly selected, find P(H), the probability that the person is a heavy smoker. Then find P(M), the probability that the person chosen is a man. Then find P(H (u upside down)M), the probability that the person is a heavy smoker and a man. Are the events "being a heavy smoker" and "being a man" independent? How can you tell?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The table below descrives the smoking habits of a group of asthma sufferers.
Nonsmoker Light smoker Heavy smoker Total
(N) (L) (H)
Men 368 86 87 541
Women 328 83 86 497
Total 696 169 173 1038
If one of the 1038 sujects is randomly selected, find P(H), the probability that the person is a heavy smoker.
Ans: 173/1038
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Then find P(M), the probability that the person chosen is a man.
Ans: 541/1038
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Then find P(H (u upside down)M), the probability that the person is a heavy smoker and a man.
Ans: 87/1038
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Are the events "being a heavy smoker" and "being a man" independent? How can you tell?
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Ans: Check P(H)*P(M)= P(H and M)
You will find they are not equal so H amd M are dependent.
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Cheers,
Stan H.
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