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Two hundred adults age 18 to 29 were polled regarding their use of various social media websites, and the resulting data F T appears in

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Two hundred adults age 18 to 29 were polled regarding their use of various social media websites, and the resulting data F T appears in the diagram below. Let F = the event that the person uses social media website F, and T = the event that a 92 8 person uses social media website T. A person from this survey 10 is randomly chosen. Complete parts (a) through (c) below. 90 For events A and B, with n(B) > 0, the conditional probability of A given B, denoted P(A|B), is given by which formula below? n(B) n(AUB) O A. P(A|B) = n(AnB) O B. P(A|B) = n(B) O C. P(A|B) = n(AUB) . n(B) O D. P(A|B) = n(AnB) . n(B) n(AnB) n(AnB) O E. P(A|B) =- OF. P(A|B) = n(A) n(B) a. Find P(FIT). P(FIT) = (Simplify your answer.)What does this number represent? 0 A. This is the probability that a person uses social media website F, given that the person uses social media website T. O B. This is the probability that a person uses both social media websites, F and T. O C. This is the probability that a person uses social media website T, given that the person uses social media website F. O D. This is the probability that a person uses at least one social media website, F or T. b. Find P(T F). P(T|F) = (Simplify your answer.) What does this number represent? 0 A. This is the probability that a person uses social media website F, given that the person uses social media website T. O B. This is the probability that a person uses at least one social media website. F or T. O C. This is the probability that a person uses social media website T, given that the person uses social media website F. O D. This is the probability that a person uses both social media websites, F and T. c. Find P(F'|T'). P(F'|T') = :1 (Simplify your answer.) What does this number represent? O A. This is the probability that a person does not use social media website F, given that the person does not use social media website T. O B. This is the probability that a person does not use social media website T, given that the person does not use social media website F. O c. This is the probability that a person does not use either social media websites. O D. This is the probability that a person uses some other social media website

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