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# 03Summer-HE1 - University First Hour Exam ECE 313 of...

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University First Hour Exam ECE 313 of Illinois Summer 2003 1. (22 points) Check the appropriate box for each statement below. Answers need not be justified. However, in order to discourage guessing, you will be penalized for wrong answers. (a) (10 points) (+2 points for a correct answer, 2 points for a wrong answer, and 0 points for no answer) Which of the following statements are true for all events A and B such that 0 < P(A) < 1, 0 < P(B) < 1? TRUE FALSE P(A | B ) > P(A) P(A | B) + P(A | B c ) = 1 P(A | B) + P(A c | B) = 1 P(B | A) P(A) + P(A | B c ) P(B c ) = P(A) P(A | B) = P(B | A) P(B)/P(A) (b) (12 points) (+12 points for a correct answer, 3 points for a wrong answer, and 0 points for no answer) Which of the following four statements are true for all events A and B such that 0 < P(A) < 1, 0 < P(B) < 1? (a) P(A B) min{P(A), P(B)} (b) P(A B) [P(A) + P(B)] / 2 (c) P(A B) P(A) + P(B) 1 (d) P(A B) P(A | B) Only (a) and (c) are true statements. Only

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03Summer-HE1 - University First Hour Exam ECE 313 of...

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