question 1

Test the pair of events A and D for independence based on the following table. A B C Total D 0.23 0.01 0.06 0.30 E 0.36 0.17 0.07 0.60 F 0.01 0.02 0.07 0.10 Total 0.60 0.20 0.20 1.00 Are A and D independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice. O A. A and D are dependent because P (AnD) does not equal P(A)P(D). P (AnD) = and P(A)P(D) = O B. A and D are dependent because P (AnD) equals P(A)P(D). P (AnD) = and P(A)P(D) = O C. A and D are independent because P (AnD) equals P(A)P(D). P (AnD) = and P(A)P(D) = O D. A and D are independent because P (AnD) does not equal P(A)P(D). P (AnD) = and P(A)P(D) =