Test the pair of events C and D for independence based on the following table.

	A	B	C	Total
D	0.27	0.13	0.10	0.50
E	0.12	0.01	0.07	0.20
F	0.21	0.06	0.03	0.30
Total	0.60	0.20	0.20	1.00

Are C and D independent or dependent and why? Select the correct answer below and fill in the answer boxes to complete your choice.

A.

C

and

D

are

independent

because

P(CD)

equals

P(C)P(D).

P(CD)=

and

P(C)P(D)=

B.

C

and

D

are

dependent

because

P(CD)

equals

P(C)P(D).

P(CD)=

and

P(C)P(D)=

C.

C

and

D

are

independent

because

P(CD)

doesnotequal

P(C)P(D).

P(CD)=

and

P(C)P(D)=

or

D.

C

and

D

are

dependent

because

P(CD)

doesnotequal

P(C)P(D).

P(CD)=

and

P(C)P(D)=