A survey conducted by a leading HMO found that of 2000 women, 340 were heavy smokers and 25 had emphysema. Of those who had emphysema, 21 were also heavy smokers. Using the data in this survey, determine whether the events being a heavy smoker and having emphysema are independent?

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.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

y=x+9

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step-by-step explanation: