Question

select the correct answer from each drop - down menu. a group of employees had their blood pressure checked at a work - related health fair. the results are shown in the table. based on the results in the table, complete the statements below for a randomly selected employee. p(high blood pressure) = p(high blood pressure|25 - 34) = having high blood pressure and being between 25 - 34 years old are events.

Explanation:

Step1: Recall conditional - probability formula

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In the context of the table, if $A$ is the event of having high blood - pressure and $B$ is the event of being in the 25 - 34 age group, then $P(\text{High Blood Pressure}|25 - 34)=\frac{\text{Number of 25 - 34 year - olds with high blood pressure}}{\text{Total number of 25 - 34 year - olds}}$.

Step2: Identify values from the table

The number of 25 - 34 year - olds with high blood pressure is 17, and the total number of 25 - 34 year - olds is 84.

Step3: Calculate the probability

$P(\text{High Blood Pressure}|25 - 34)=\frac{17}{84}\approx0.202$.

$P(\text{High Blood Pressure})=\frac{\text{Total number of people with high blood pressure}}{\text{Total number of people}}$. The total number of people with high blood pressure is 72, and the total number of people is 231. So $P(\text{High Blood Pressure})=\frac{72}{231}\approx0.312$.

Answer:

$P(\text{High Blood Pressure}|25 - 34)=\frac{17}{84}\approx0.202$; $P(\text{High Blood Pressure})=\frac{72}{231}\approx0.312$