If A and B,are independent events, then P(A ) = P(B :

If A and B,are independent events, then P(A ) = P(B  A).
 
  A) True B) False

Q. 2

Two events, A and B, are independent if P(A and B) = P(A )  P(B).
 
  A) True B) False

Q. 3

If A and B are independent events, then A and B are also mutually exclusive.
 
  A) True B) False

Q. 4

Suppose two dice, one blue and one red, are rolled and the outcomes of each are recorded. We define the following two events:
 
  A: sum of the roll is 7
  B.
 
  the result of the blue die is a number greater than 4
 
  Are the two events, A and B, independent events?
  A) No B) Yes

Q. 5

On a certain statistics test, 20 of the students earned a score of 90 or above. It was also true that 20 of the male students earned a score of 90 or above. Are the events earning a score of 90 or above and being male independent? Explain.
 
  What will be an ideal response?

Q. 6

At a certain university, 70 of the students own cars. However, only 45 of the residence hall students own cars. Are the events owning a car and living in a residence hall independent? Explain.
 
  What will be an ideal response?

Q. 7

If P(A ) = .55, P(B  A ) = .4, P(A  B) = .22, and A and B are independent events, find P(B).
 
  A) .88 B) .55 C) .4 D) .22