Analyze the table below and answer the question that follows.


C
D
E
Total
A
0.15
0.2
0.15
0.5
B
0.05
0.3
0.15
0.5
Total
0.2
0.5
0.3
1

Which of the following can be determined from the table above?

A.
Events D and A are independent.
B.
Events D and B are independent.
C.
Events A and B are independent.
D.
Events E and B are independent.

Respuesta :

Answer a is independent

Answer:

The correct option is C.

Step-by-step explanation:

The given table is

                  A                  B              Total

C               0.15             0.05             0.2

D                0.2              0.3               0.5

E                0.15             0.15              0.3  

Total          0.5               0.5               1

Two event are called independent if the probability of one event does not affect the probability of second event.

From the given table it is clear that the probability of A does not affect the probability of B.

Therefore the events A and B are independent. Option C is correct.