Test the pair of events

A

and

D

for independence based on the following table.

	A	B	C	Total
D	0.14	0.04	0.12	0.30
E	0.04	0.04	0.02	0.10
F	0.22	0.12	0.26	0.60
Total	0.40	0.20	0.40	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.

A

and

D

are

independent

because

P(AD)

equals

P(A)P(D).

P(AD)=enter your response here

and

P(A)P(D)=enter your response here.

B.

A

and

D

are

independent

because

P(AD)

doesnotequal

P(A)P(D).

P(AD)=enter your response here

and

P(A)P(D)=enter your response here.

C.

A

and

D

are

dependent

because

P(AD)

doesnotequal

P(A)P(D).

P(AD)=enter your response here

and

P(A)P(D)=enter your response here.

D.

A

and

D

are

dependent

because

P(AD)

equals

P(A)P(D).

P(AD)=enter your response here

and

P(A)P(D)=enter your response here.