Test the pair of events A and D for independence based on the following table. A B 0.16 0.40 0.02 0.05 0.02 0.05 0.20 0.50 D E F Total с 0.24 0.03 0.03 0.30 Total 0.80 0.10 0.10 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.
Test the pair of events A and D for independence based on the following table. A B 0.16 0.40 0.02 0.05 0.02 0.05 0.20 0.50 D E F Total с 0.24 0.03 0.03 0.30 Total 0.80 0.10 0.10 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.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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![Test the pair of events A and D for independence based on the following table.
A
B
0.16
0.40
0.02
0.05
0.02
0.05
0.20 0.50
D
E
F
Total
с
0.24
0.03
0.03
0.30
Total
0.80
0.10
0.10
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.
OA. A and D are dependent because P(AND) equals P(A)P(D). P(AND) =
and P(A)P(D)=.
B. A and D are dependent because P(AND) does not equal P(A)P(D).
P(AND) = and P(A)P(D)=
OC. 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)=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d4559b7-32ee-431d-b856-210240e86126%2Feaf63a3f-33c1-4f70-afb0-3c66280f8f08%2F5k6dr68_processed.png&w=3840&q=75)
Transcribed Image Text:Test the pair of events A and D for independence based on the following table.
A
B
0.16
0.40
0.02
0.05
0.02
0.05
0.20 0.50
D
E
F
Total
с
0.24
0.03
0.03
0.30
Total
0.80
0.10
0.10
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.
OA. A and D are dependent because P(AND) equals P(A)P(D). P(AND) =
and P(A)P(D)=.
B. A and D are dependent because P(AND) does not equal P(A)P(D).
P(AND) = and P(A)P(D)=
OC. 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)=
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