Two hundred adults age 18 to 29 were polled regarding their use of various social media websites, and the resulting data appears in the diagram below. LetF=theevent that the person uses social media website F, and T = the event that a person uses social media website T. A person from this survey is randomly chosen. Complete parts (a) through (c) below. c. Find P(F'IT').P(F'IT') = (Simplify your answer.)What does this number represent?A. This is the probability that a person does not use either social media websites.B. 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.C. 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 D. This is the probability that a person uses some other social media website. Two hundred adults age 18 to 29 were polled regarding theiruse of various social media websites, and the resulting dataappears in the diagram below. Let F = the event that theperson uses social media website F, and T = the event that aperson uses social media website T. A person from this surveyis randomly chosen. Complete parts (a) through (c) below.F12492047For 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)O A. P(A|B) =n(ANB)n(ANB)O B. P(A|B)=n(A)n(ANB)n(AUB)O C. P(A|B)=n(B)D. P(A|B) =n(B)O E. P(A|B) = n(AUB) • n(B)O F. P(A|B) = n(ANB) • n(B)a. Find P(F|T).P(F|T) = (Simplify your answer.)What does this number represent?O A. This is the probability that a person uses both social media websites, F and T.O B. This is the probability that a person uses social media website F, given that the person uses social media website T.OC. 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?O A. This is the probability that a person uses social media website T, given that the person uses social media website F.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 F, given that the person uses social media website T.D. This is the probability that a person uses at least one social media website, F or T.

Answered: Image /qna-images/answer/5b672e7a-3618-4140-b256-bc6a251d40bd.jpg

Two hundred adults age 18 to 29 were polled regarding their use of various social media websites, and the resulting data appears in the diagram below. Let F = the event that the person uses social media website F, and T = the event that a person uses social media website T. A person from this survey is randomly chosen. Complete parts (a) through (c) below. 124 20 47 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(ANB) O A. P(A|B) = n(ANB) O B. P(A|B) = n(A) n(AUB) n(B) n(ANB) OC. P(A|B) = n(B) O D. P(A|B) = O E. P(A|B) = n(AUB) • n(B) O F. P(A|B) = n(ANB) • n(B) a. Find P(F|T). P(F|T) = (Simplify your answer.) What does this number represent? O A. This is the probability that a person uses both social media websites, F and T. O B. This is the probability that a person uses social media website F, given that the person uses social media website T. OC. 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? O A. This is the probability that a person uses social media website T, given that the person uses social media website F. 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 F, given that the person uses social media website T. O D. This is the probability that a person uses at least one social media website, F or T.

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...