Answer:
0.7 is the probability that a randomly selected person either has high blood pressure or is a runner or both.
Step-by-step explanation:
We are given the following information in the question:
Probability that a randomly selected person has high blood pressure = 0.4
[tex]P(H) = 0.4[/tex]
Probability that a randomly selected person is a runner = 0.4
[tex]P(R) = 0.4[/tex]
Probability that a randomly selected person has high blood pressure and is a runner = 0.1
[tex]P(H \cap R) = 0.1[/tex]
If the events of selecting a person with high blood pressure and person who is a runner are independent then we can write:
[tex]P(H \cup R) = P(H) + P(R)-P(H\cap R)[/tex]
Probability that a randomly selected person either has high blood pressure or is a runner or both =
[tex]P(H \cup R) = P(H) + P(R)-P(H\cap R)\\P(H \cup R) = 0.4 + 0.4 -0.1 = 0.7[/tex]
0.7 is the probability that a randomly selected person either has high blood pressure or is a runner or both.
