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For each set of probabilities, determine whether the events A and B are independent or dependent. Probabilities 1 (a) P(A)= ; P (B) == ; P (BIA) == 5 3 (b) P (A) = -¹ ; P (B) = —; P (A and B) 3 (c) _P(A) = —; P (B) == ; P (B|A) = Independent Dependent O O O

For each set of probabilities, determine whether the events A and B are independent or dependent. Probabilities 1 (a) P(A)= ; P (B) == ; P (BIA) == 5 3 (b) P (A) = -¹ ; P (B) = —; P (A and B) 3 (c) _P(A) = —; P (B) == ; P (B|A) = Independent Dependent O O O

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 46E
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Identifying independent events given values of probabilities For each set of probabilities, determine whether the events A and B are independent or dependent. Probabilities 1 (a) P(A) = P(B) = ; P (BIA) - 5 7 1 1 (b) P (A) = ¹; P (B) = —; P (A and B) = 1 3 2 6 1 1 (c) P (A) = — ; P (B) = — ; P (B[A) = == 3 3 (d) P (A) = ¹ -1; ; P (B) = ¹; P (A|B) = = 3 8 3 Independent O O O O X Dependent O O O O 5
Transcribed Image Text:Identifying independent events given values of probabilities For each set of probabilities, determine whether the events A and B are independent or dependent. Probabilities 1 (a) P(A) = P(B) = ; P (BIA) - 5 7 1 1 (b) P (A) = ¹; P (B) = —; P (A and B) = 1 3 2 6 1 1 (c) P (A) = — ; P (B) = — ; P (B[A) = == 3 3 (d) P (A) = ¹ -1; ; P (B) = ¹; P (A|B) = = 3 8 3 Independent O O O O X Dependent O O O O 5
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