Question

In one study, researchers at a clinic looked at more than 120,000 patients enrolled in 14 international studies in the past 10 years. Among the patients with heart problems, researchers found at least one risk factor in 84.7% of the women and 80.7% of the men. If a woman is selected at random from the women with heart problems, what is the probability she has none of the risk factors? Write your answer as a percentage. % If a man is selected at random from the men with heart problems, what is the probability he has none of the risk factors? Write your answer as a percentage. %

Answer 1

The probability she has none of the risk factors
`P(N) =  15.3 \%`

The probability he has none of the risk factors
`P(M) =  19.3 \%`

Explanation:

From the question we are told that

The number of patients enrolled is n = 120,000

The number of international studies is N = 14

The number of years is y = 10 years

The risk factor for women is r = 84.7%

The risk factor for men is R = 80.7%

Generally the probability that she has none of the risk factors is mathematically represented as

`P(N) =  100 - r)\%`

=>
`P(N) =  100 - 84.7)\%`

=>
`P(N) =  15.3 \%`

Generally the probability that he has none of the risk factors is mathematically represented as

`P(M) =  100 - R)\%`

=>
`P(M) =  100 -  80.7)\%`

=>
`P(M) =  19.3 \%`