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Test the pair of events B and D for independence based on the following table. A B C Total D 0.22 0. 18 0.10 0.50

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Test the pair of events B and D for independence based on the following table. A B C Total D 0.22 0. 18 0.10 0.50 E 0.10 0.03 0.07 0.20 F 0. 18 0.09 0.03 0.30 Total 0.50 0.30 0.20 1.00 . . . Are B and D independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice. O A. B and D are independent because P(BND) equals P(B)P(D). P(BAD) = and P(B)P(D) = O B. B and D are dependent because P(BnD) equals P(B)P(D). P(BAD) = and P(B)P(D) = O C. B and D are independent because P(BND) does not equal P(B)P(D). P(BND) = and P(B)P(D) = O D. B and D are dependent because P(BnD) does not equal P(B)P(D). P(BAD) = and P(B)P(D) =

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