Test the pair of events A and D for independence based on the following table. A B
Question:
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.