Consider the following contingency table. B BC A 26 26 AC 20 28 a. Convert the contingency table into a joint probability table. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) A AC Total B BC Total 0.0000 0.0000 0.0000 0.0000 0.0000 b. What is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Probability
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Total observations = 26 + 26 + 20 + 28 = 100 Show more…
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Consider the following contingency table. B Bc Total A 26 26 Ac 20 28 Total 46 54 a. Convert the contingency table into a joint probability table. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) B Bc Total A 0.5652 0.5652 Ac 0.4348 0.4348 Total 1.0000 1.0000 b. What is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) P(A) = 0.5652 c. What is the probability that A and B occur? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) P(A ∩ B) = 0.5652 d. Given that B has occurred, what is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) P(A | B) = 0.5652 e. Given that Ac has occurred, what is the probability that B occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) P(B | Ac) = 0.5185 f. Are A and B mutually exclusive events? No because P(A ∩ B) ≠ 0. g. Are A and B independent events? No because P(A | B) ≠ P(A).
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Consider the following contingency table. B Bc A 22 24 Ac 32 22 a. Convert the contingency table into a joint probability table. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. What is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c. What is the probability that A and B occur? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) d. Given that B has occurred, what is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) e. Given that Ac has occurred, what is the probability that B occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) f. Are A and B mutually exclusive events? multiple choice 1 Yes because P(A | B) ≠ P(A). Yes because P(A ∩ B) ≠ 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0. g. Are A and B independent events? multiple choice 2 Yes because P(A | B) ≠ P(A). Yes because P(A ∩ B) ≠ 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0.
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Consider the following joint probability table B1 B2 B3 B4 A 0.14 0.10 0.15 0.09 Ac 0.15 0.17 0.10 0.10 a. What is the probability that A occurs? (Round your answer to 2 decimal places.) b. What is the probability that B2 occurs? (Round your answer to 2 decimal places.) c. What is the probability that Ac and B4 occur? (Round your answer to 2 decimal places.) d. What is the probability that A or B3 occurs? (Round your answer to 2 decimal places.) e. Given that B2 has occurred, what is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) f. Given that A has occurred, what is the probability that B4 occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
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