7. A study tracked a large group of people for 10 years. At the start of the study, 20% were hea smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not o (D°). The probability that a light smoker died during the study was twice that of the probability of non-smoker dying. Also, the probability that light smoker died during the study was half that the probability of a heavy smoker dying.

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7. A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy
smokers (H), 30% were light smokers (L), and 50% were non-smokers (N).
The interest of the study was whether the people in the study died during the study (D) or not die
(D°).
The probability that a light smoker died during the study was twice that of the probability of a
non-smoker dying. Also, the probability that light smoker died during the study was half that of
the probability of a heavy smoker dying.
A randomly selected person from the study died during the study. What is the probability that this
person was a heavy smoker (given they died, what is the probability they were a heave smoker H)?
Transcribed Image Text:7. A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (D°). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heave smoker H)?
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