True /False – Each T/F is worth 1 pt. (10)
If events E , F are independent then P(E AND F) = P(E)*P(F)? T F
If P(A and B) ≠ 0 then events A, B are not mutually exclusive. T F
P(A) = 0.4, P(B) = 0.5. You are told events A,B are independent then,
P(A OR B) = 0.9? T F
P(A) = 0.4, P(B) = 0.5 and events A,B are mutually exclusive then
P(A OR B) = 0.9? T F
P(A / B) = P(A and B) / P(A)? T F
A, B are events then P( A OR B) = P(A) + P(B) + P( A and B)? T F
The sum of the probability of two complementary events always equals 1? T F
If M,N are mutually exclusive then P( M or N ) = P(M) + P(N) – P(M)*P(N)? T F
If M,N are mutually exclusive then P( M or N) = P(M) + P(N)? T F
If P(A) = 0.6, P(M) = 0.5 and A,M are independent then P(A and M) = 0.3 T F
Part II Basic Laws of Probability – Show formulas and calculations (10)
2. If P(A) = 0.40, P(B) = 0.64, and P(A AND B) = 0.34, then P(A OR B) =? (2)
3. If A, B are Independent events with P(A) = 0.45 and P(B) = 0.6, then P(A AND B) =? (2)
4. If A, B are Mutually Exclusive events with P(A) = 0.43, P(B) = 0.33 then P(A OR B) = ? (2)
5. If P(A) = 0.68, P(A OR B) = 0.91, and P(A AND B) = 0.35, then P(B) =? (2)
6. If P( M and N) = 0.4, P( N) = 0.6 then P( M / N) = ? (2)
That is all folks …
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