Question

In: Statistics and Probability

A health study tracked a group of persons for five years. At the beginning of the...

A health study tracked a group of persons for five years. At the beginning of the study, 25% were classified as heavy smokers, 35% as light smokers, and 40% as nonsmokers. Results of the study showed that light smokers were twice as likely as nonsmokers to die during the five-year study, but only half as likely as heavy smokers. A randomly selected participant from the study died over the five-year period. Compute the probability that the participant was a nonsmoker.

Expert Solution

Answer:

Given that:

A health study tracked a group of persons for five years. At the beginning of the study, 25% were classified as heavy smokers, 35% as light smokers, and 40% as nonsmokers.

Define the following events are

H=being a heavy smoker

L= being a light smoker

N=being a non smoker

D = Death during the five year study

Also we have

Since L,N and H are exhaustive events we must have

We need

orchestra answered 1 year ago

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