Answered: If P(A) = 0.5, P(B) = 0.3, and P(A or…

If P(A) = 0.5, P(B) = 0.3, and P(A or B) = 0.8, then P(A and B) = (a) Are events A and B independent? (enter YES or NO) (b) Are A and B mutually exclusive? (enter YES or NO)

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 20E: Decide whether the following pairs of events are dependent or independent. C is the event that it...

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Question

If P(A) = 0.5, P(B) = 0.3, and P(A or B) = 0.8, then P(A and B) =
(a) Are events A and B independent? (enter YES or NO)
(b) Are A and B mutually exclusive? (enter YES or NO)

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