5.4 solutions

# Given pa9 pb4 and a and b are independent b b c a 36

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(Remember, your joint probabilities should all sum to one.) Given: P(A)=.9; P(B)=.4; and A and B are INDEPENDENT. B B c A .36 .54 .9 A c .04 .06 .1 .4 .6 Multiple Choice and True/False 1. If P ( A ) = 0.35, P ( B ) = 0.45 and P ( A and B ) =0.25, then P ( A|B ) is: a. 1.4 b. 1.8 c. 0.714 d. 0.556 2. If two events are independent, what is the probability that they both occur? a. 0 b. 0.50 c. 1.00 d. Cannot be determined from the information given 3. Which of the following statements is always correct? a. P ( A and B ) = P ( A ) . P ( B ) b. P(A or B) = P(A) + P ( B ) c. P ( A or B ) = P ( A ) + P ( B ) + P ( A and B ) d. P ( ) C A = 1- P ( ) A e. All of the above 4. Let A be any event in the sample space S. If event A does not occur, then its complement C A must occur. a. True b. False 5. P(A|B)= P(A)/P(B) a. True b. False 6. Suppose A and B are two independent events for which P ( A ) = 0.20 and P ( B ) = 0.60. P ( A | B ) is not possible to find with the given information. a. True b. False
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