Question

While studying a certain population, researchers determine that 56% of individuals within the population have high blood pressure, and 19% are smokers. Of those who have high blood pressure, 27% are smokers, what is the probability that a smoker will have high blood pressure? 0.7640 0.7321 0.7958 O 0.7003 0.8276

Answer 1

Solution:

The correct option is 0.7958

Explanation:

Suppose there are 100 people in total.

We know that 56% of individuals within the population have high blood pressure. Therefore, there are 56 people who have high blood pressure.

We also know that 19% of individuals are smokers. Therefore, there are 19 people who are smokers.

Also, we know that 27% of high blood pressure people are smokers.

Therefore, the number of people smokers out of high blood pressure people are:

$0.27 \times 56=15.12$

Now the probability that a smoker will have high blood pressure is:

$\boldsymbol{\frac{15.12}{19}=0.7958}$