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Suppose that in a certain population, 18% have green eyes and 25% have blonde hair. In...

Suppose that in a certain population, 18% have green eyes and 25% have blonde hair. In addition, 11% of people have green eyes and blonde hair. Let G represent the event that a person has green eyes, and B represent the event that a person has blonde hair. In each part of this question, you must first express each probability in terms of the events G and B and justify any computation through the use of a formula. (a) Express each of the three probabilities listed above in terms of the events G and B. (b) Are G and B mutually exclusive events? Explain using the probabilities you stated in part (a). (c) What proportion of all people do not have blonde hair? (d) What is the probability that a randomly selected person will have at least one of these two characteristics? That is, green eyes or blonde hair, or both? (e) What proportion of people have green eyes but do not have blonde hair? (f) What percentage of people have neither green eyes nor blonde hair?

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