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7. Let A and B be two events from the same sample space with P(A) = 0.35 and P(B) = 0.70. (a) Is it possible that the events A and B are mutually exclusive? Fully justify your answer. (b) Suppose that P(A|B) = 0.2, find P(A^ Bº) (fully justify your answer analytically). (c) Is it possible that P(A/B) = 0.60? Justify your answer analytically.

7. Let A and B be two events from the same sample space with P(A) = 0.35 and P(B) = 0.70. (a) Is it possible that the events A and B are mutually exclusive? Fully justify your answer. (b) Suppose that P(A|B) = 0.2, find P(A^ Bº) (fully justify your answer analytically). (c) Is it possible that P(A/B) = 0.60? Justify your answer analytically.

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 42E
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7. Let A and B be two events from the same sample space with P(A) = 0.35 and P(B) = 0.70. (a) Is it possible that the events A and B are mutually exclusive? Fully justify your answer. (b) Suppose that P(A|B) = 0.2, find P(An Bc) (fully justify your answer analytically). (c) Is it possible that P(A|B) = 0.60? Justify your answer analytically.
Transcribed Image Text:7. Let A and B be two events from the same sample space with P(A) = 0.35 and P(B) = 0.70. (a) Is it possible that the events A and B are mutually exclusive? Fully justify your answer. (b) Suppose that P(A|B) = 0.2, find P(An Bc) (fully justify your answer analytically). (c) Is it possible that P(A|B) = 0.60? Justify your answer analytically.
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