True/False [1pt each]: Circle T for True or F for False. 1. TIF If the events A

Question

True/False [1pt each]: Circle T for True or F for False. 1. TIF If the events A and B are disjoint with probabilities P(A) 0.2 and P(B) 0.3, then A and B are independent. 2. T / F If P(A) = 0.6, P(B) 0.4, and P(AIB) = 0.6, then the events A and B are independent. 3. T F The number of heads in 100 tosses of a coin is a discrete random variable. 4 TIF P(AUB) P(A |B) P(B) 5, T / F For any events, A and B, with P(B) > 0, p(AIB) + p(A,IB) 1. 6. TIF A variable is continuous if the set of possible values is an interval of numbers. 7. TIF For any events, A and B, P(B)-P(BIA) P(BIA)

Explanation / Answer

1) False ; fr disjoint events P(A n B) =0

2) True ; as P(A)=P(A|B)

3)true ;as number of heads is integer value

4) False ; P(A n B)=P(A|B)*P(B)

5) true

6)False

7) False

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