Suppose we are given two events, A and B, with Pr(A) = 0.6 and Pr(B) = 0.22.a) Suppose A and B are independent, find Pr(A U B).b) Suppose instead A and B are mutually exclusive, find Pr(A U B). c) Again, suppose A and B are mutually exclusive, find P(A|B).d) Can the above events, A and B, be both independent and mutually exclusive from each other?Explain why or why not.

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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 19E

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Question

Suppose we are given two events, A and B, with Pr(A) = 0.6 and Pr(B) = 0.22.

a) Suppose A and B are independent, find Pr(A U B).
b) Suppose instead A and B are mutually exclusive, find Pr(A U B).
c) Again, suppose A and B are mutually exclusive, find P(A|B).
d) Can the above events, A and B, be both independent and mutually exclusive from each other?

Explain why or why not.

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