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that the test result is dirty TC= event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean a) Using the information in the quote, compute the following values. (i) P(TD|D) 0.99 (ii) P(TDIC) 0.01 (iii) P(C) 0.99 (iv) P(D) 0.01 (b) Use the probabilities from part (a) to construct a hypothetical 1,000 table. (Round your answers to the nearest integer.) D C Total TD X 0.01 X TC X c) What is the value of P(TD) based on the table values? Total 1,000 (d) Use the information in the table to calculate the probability that a person is clean given that the test result is dirty, P(C|TD).

that the test result is dirty TC= event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean a) Using the information in the quote, compute the following values. (i) P(TD|D) 0.99 (ii) P(TDIC) 0.01 (iii) P(C) 0.99 (iv) P(D) 0.01 (b) Use the probabilities from part (a) to construct a hypothetical 1,000 table. (Round your answers to the nearest integer.) D C Total TD X 0.01 X TC X c) What is the value of P(TD) based on the table values? Total 1,000 (d) Use the information in the table to calculate the probability that a person is clean given that the test result is dirty, P(C|TD).

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 8CC: (a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p....
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TD= event that the test result is dirty TC event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, compute the following values. (1) P(TD|D) 0.99 (ii) P(TDIC) 0.01 (iii) P(C) 0.99 (iv) P(D) 0.01 (b) Use the probabilities from part (a) to construct a hypothetical 1,000 table. (Round your answers to the nearest integer.) D C Total TD X 0.01 X TC X (c) What is the value of P(TD) based on the table values? Total 1,000 (d) Use the information in the table to calculate the probability that a person is clean given that the test result is dirty, P(CITD).
Transcribed Image Text:TD= event that the test result is dirty TC event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, compute the following values. (1) P(TD|D) 0.99 (ii) P(TDIC) 0.01 (iii) P(C) 0.99 (iv) P(D) 0.01 (b) Use the probabilities from part (a) to construct a hypothetical 1,000 table. (Round your answers to the nearest integer.) D C Total TD X 0.01 X TC X (c) What is the value of P(TD) based on the table values? Total 1,000 (d) Use the information in the table to calculate the probability that a person is clean given that the test result is dirty, P(CITD).
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