(i) Find the probability that the smoker will suffer from both ailments. (ii) Find the probability that he will suffer from heart disease given that he suffers from chronic respiratory illness. (iii) Find the probability that he will suffer from chronic respiratory illness given that he suffers from heart disease.

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Q. 2 The probability that a smoker who consumes over 20 cigarettes
a day will suffer from chronic respiratory illness is
4
The
10
probability that he will suffer from heart disease is
The
10
probability that he will suffer from at least one of these ailments is
6.5
10
(i) Find the probability that the smoker will suffer from both
ailments.
(ii) Find the probability that he will suffer from heart disease given
that he suffers from chronic respiratory illness.
(iii) Find the probability that he will suffer from chronic respiratory
illness given that he suffers from heart disease.
(iv) Are events "chronic respiratory illness" and "heart disease
independent"?
Transcribed Image Text:Q. 2 The probability that a smoker who consumes over 20 cigarettes a day will suffer from chronic respiratory illness is 4 The 10 probability that he will suffer from heart disease is The 10 probability that he will suffer from at least one of these ailments is 6.5 10 (i) Find the probability that the smoker will suffer from both ailments. (ii) Find the probability that he will suffer from heart disease given that he suffers from chronic respiratory illness. (iii) Find the probability that he will suffer from chronic respiratory illness given that he suffers from heart disease. (iv) Are events "chronic respiratory illness" and "heart disease independent"?
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