Consider the following relationships between smoking and hypertension for 180 in

ID: 3428867 • Letter: C

Question

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

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.

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