P(A) = 0.63, P(B) = 0.41, and P(B | A) = 0.63. Are the events independent? Justify mathematically.  Yes, because 0.63 = 0.63  No, because 0.63 ≠ 0.41  Yes, because 0.63 ≠ 0.41  No, because 0.63 = 0.63

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.CR: Chapter 12 Review
Problem 67CR
Question

P(A) = 0.63, P(B) = 0.41, and P(B | A) = 0.63. Are the events independent? Justify mathematically.

 Yes, because 0.63 = 0.63

 No, because 0.63 ≠ 0.41 

Yes, because 0.63 ≠ 0.41 

No, because 0.63 = 0.63

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