(E) Female given not Color-blind? 3 (F) Are the events Male and Color blind inde

Question

(E) Female given not Color-blind? 3 (F) Are the events Male and Color blind independent?_ Multiple Choice: 14. Which of the following statements is correct given that the events A and B have nonzero probabilities? (A) A and B are always independent (B) A and B cannot be both independent and mutually exclusive (C) A and B are always mutually exclusive (D) A and B can be both independent and mutually exclusive 15. If P(A) 0.20, P(B) -0.30 and P(A and B) 0.06, then A and B are: (A) mutually exclusive events (B) dependent events (C) complementary events (D) independent events 16. Two events A and B are said to be mutually exclusive if: (A) P(A/B)-1 (B) P(BIA) 1 (C) P(A and B)-0 (D) P(A and B)1 (E) none of the above 17. If A and B are independent then: (A) P(A/B)0 (B) P(A/B) P(B) (C) P(A and B)-o (D) P(A/B) P(A) (E) none of the above 18. If A and B are mutually exclusive then: (A) P(A/B) 0 (B) P(A/B) -P(B) (C) P(A or B) (D) P(A/B) P(A) (E) none of the above

Explanation / Answer

14.

B) A and B both can't be independent and mutually exclusive .

15.

P(A) = 0.20

P(B) = 0.30

P(A)*P(B) = 0.06

P( A and B ) =P(A)*P(B) = 0.06

D) Independent events

16.

C) P ( A and B ) = 0

17.

D) P ( A | B ) = P(A)

18.

A) P ( A | B ) = 0

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