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Of all people in one population, 21% have high blood pressure and 36% are overweight. In...

Of all people in one population, 21% have high blood pressure and 36% are overweight. In addition, 42% of people who are overweight also have high blood pressure. Let H represent the event that a person has high blood pressure, and O represent the event that a person is overweight. In each part of this question, you must first express each probability in terms of the events H and O and justify any computation through the use of a formula. (a) Express each of the three probabilities listed above in terms of the events H and O. (b) Are H and O independent events? Explain your answer using only the probabilities stated in part (a). (c) What proportion of all people are not overweight? (d) What is the probability that a randomly selected person will have high blood pressure and be overweight? Are H and O mutually exclusive events? Explain. (e) What is the probability that a randomly selected person will have at least one of these two conditions? (f) What proportion of all people have high blood pressure but are not overweight? (g) If a person has high blood pressure, what is the probability they are also overweight?

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