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Answer:
The events being a heavy smoker and having emphysema are not independent.
Step-by-step explanation:
We are given the following in the question:
Number of women = 2000
Number of heavy smoker = 340
Number of women who has emphysema = 25
Number of women who has emphysema and are heavy smoker = 21
P(Smoker) =
P(emphysema) =
P(Smoker and emphysema) =
Two events A and B are said to be independent if
Checking conditions for independence:
Thus, the events being a heavy smoker and having emphysema are not independent.