A) > 0 and P(B) > 0, then: are mutually exclusive, they cann

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 30E: If A and B are events such that P(A)=0.5 and P(AB)=0.7, find P(B) when a. A and B are mutually...
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1.39 A pair of events A and B cannot be simultaneously mutually exclusive and independent.
Prove that if P(A) > 0 and P(B) > 0, then:
(a) If A and B are mutually exclusive, they cannot be independent.
(b) If A and B are independent, they cannot be mutually exclusive.
Transcribed Image Text:1.39 A pair of events A and B cannot be simultaneously mutually exclusive and independent. Prove that if P(A) > 0 and P(B) > 0, then: (a) If A and B are mutually exclusive, they cannot be independent. (b) If A and B are independent, they cannot be mutually exclusive.
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