Homework SourseConsider the following relationships between smoking and hyp
Consider the following relationships between smoking and hypertension for 180 individuals:
IF one of these individuas is chosen at random ,
1- Find the probability that the person is experiencing hypertension GIVEN that the person is non- smoker?
2- Find the probability that the person is a smoker GIVEN that the person is experiencing no hypertension?
3- Are smoker and hypertension independent? Justify your answer?
| Non-smoker | Smoker | Total | |
| Hypertension | 21 | 66 | 87 |
| No hypertension | 48 | 45 | 93 |
| 69 | 111 | 180 |
Solution
1- Find the probability that the person is experiencing hypertension GIVEN that the person is non- smoker?
P(hypertension|not-smoker) = P(hypertension and not-smoker)/P(not-smoker)
=21/69
=0.304347
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2- Find the probability that the person is a smoker GIVEN that the person is experiencing no hypertension?
P(smoker | no hypertension) = P(smoker and no hypertension) / P(no hypertension)
=45/93
=0.483871
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3- Are smoker and hypertension independent? Justify your answer?
Since P(smoker)*P(hypertension) is not equal to P(smoker and hypertension), they are not independent.
