Question

50 POINTS

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

Events B and C are independent.
B.

Events D and A are independent.
C.

Events C and A are independent.
D.

Events E and B are independent.

Answer 1

option b would be the correct answer

Explanation:

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that

P(A) = 0.5

P(B) = 0.5

P(C) = 0.15

P(D) = 0.7

P(E) = 0.15

We need to find the independent events.

When we consider,

P(A∩D) = P(Event A and Event D) = 0.35

and

P(A) × P(D) = 0.7 × 0.5 = 0.35

We get that

P(A∩D)= P(A) × P(D) = 0.35

All other options are not satisfying the conditions of "Independent events".

Hence, Option 'B' is correct.