Answer:
0.667 is the probability that a randomly selected person has high blood pressure, given that he is a runner.
Step-by-step explanation:
The following information is missing in the question:
The probability that a randomly selected person is a runner
P(R) = 0.3
The probability that a randomly selected person has high blood pressure and is a runner is 0.2
We are given the following information in the question:
The probability that a randomly selected person has high blood pressure is 0.5
P(H) = 0.5
P(R) = 0.3
[tex]P(H\cap R) = 0.2[/tex]
We have to find the probability that a randomly selected person has high blood pressure, given that he is a runner.
[tex]P(H|R) = \displaystyle\frac{P(H\cap R)}{P(R)} = \frac{0.2}{0.3} = 0.667[/tex]
0.667 is the probability that a randomly selected person has high blood pressure, given that he is a runner.
