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Exam1.2_Soln

# Exam1.2_Soln - IE 111 10:00 Section Exam 1 Fall 2008...

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IE 111 NAME _______Solutions___________ 10:00 Section Exam 1 Fall 2008 Instructions Open book, open notes Clearly indicate your answer You must show all relevant work and justify your answers appropriately Partial credit will be given, but not without sufficient support Factorials, permutations, combinations and other complex formulas do not need to be evaluated. You can leave as 4 C 2 for example. Cases where you should compute a final number are noted. Each question is worth 25 points My guess is that this is a long test. 100 0000 90 0002 ave 73.51852 80 068 med 75 70 0115559 S.D. 19.73745 60 8 N 27 50 689 40 23 30 99

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Question 1 Consider the events shown in the Venn diagram above: Suppose P(A)=0.3 P(B)=0.2 P(C)=0.5 P(D)=0.4. Suppose also that A and C are independent. (Please compute a final probability for each part). a) Find P(A ′∩ B) = 0 since (A ′∩ B) = b) Find P(A ′∩ B ) = P(A ) = 1-P(A) = 0.7 c) Find P(A ′∩ B ′∩ D) = P(D) = 0.4 d) Find P(A B D) = P(A D) = P(A)+P(D) = 0.7 (A and D are M.E.) e) Find P(A C) = P(A)+P(C)-P(A C) = P(A)+P(C)-P(A)P(C) = 0.3 + 0.5 - (0.3)(0.5) = 0.65 B S A C D
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