Question

Decide whether or not the two events in question are independent or whether it is not possible to tell.

Upper P left parenthesis Upper B right parenthesisP(B)equals=0.90.9

and

Upper P left parenthesis Upper B vertial line Upper A right parenthesisP(B∣A)equals=0.70.7

Choose the correct answer below.

A.The two events are independent because

Upper P left parenthesis Upper A & Upper B right parenthesisP(A & B)equals=Upper P left parenthesis Upper B right parenthesisP(B)times•Upper P left parenthesis Upper B vertial line Upper A right parenthesisP(B∣A).

B.The two events are independent because

Upper P left parenthesis Upper B vertial line Upper A right parenthesisP(B∣A)equals=Upper P left parenthesis Upper B right parenthesisP(B).

C.The two events are not independent because

Upper P left parenthesis Upper A & Upper B right parenthesisP(A & B)not equals≠Upper P left parenthesis Upper B right parenthesisP(B)times•Upper P left parenthesis Upper B vertial line Upper A right parenthesisP(B∣A).

D.The two events are not independent because

Upper P left parenthesis Upper B vertial line Upper A right parenthesisP(B∣A)not equals≠Upper P left parenthesis Upper B right parenthesisP(B).

E.

It is not possible to tell if the two events are independent.

Answer 1

TOPIC:Law of probabilistic independence.