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The following contingency table summarizes the results for a survey of 260 individuals to determine whether or not age was related to tea preference. TEA

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The following contingency table summarizes the results for a survey of 260 individuals to determine whether or not age was related to tea preference. TEA PREFERENCE AGE Black Herbal Cold TOTAL Under 30 years 20 30 100 150 30 years and over 70 25 15 110 TOTAL 90 55 115 260 In a) - d) below give your answer as a fraction AND as a decimal (correct to four decimal places) a) What is the probability that one randomly selected person prefers herbal tea? b) What is the probability that one randomly selected person does not prefer herbal tea? () What is the probability that one randomly selected person prefers herbal tea and is under 30 years? What is the probability that one randomly selected person prefers herbal tea or is under 30 years? e) Are the events under 30 years and "30 years and over' mutually exclusive? Please explain your answer D State what 2 values a probability value must lie between Mostly cloudy OL

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