Exam 1.2Solutions

Exam 1.2Solutions - IE 111 10:00 Section Exam 1.2 Fall 2007...

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IE 111 Solutions 10:00 Section Exam 1.2 Fall 2007 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 and combinations need not be evaluated. You can leave as 4 C 2 for example Each question is worth 25 points 10:00 Exam 1 40's 013 50's 01 Ave= 70 60's 4455889 Med= 74 70's 02344667888 N= 32 80's 011667 SD= 14.9 90's 46 100's 0
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Question 1. Consider the Venn diagram and associated probabilities below: P(A) = 0.36 P(D)=0.1 P(B D)=0.5 P(A B) = 0.18 P(C) = 0.32 a) Find P(A B) P(B) = P(B D) = 0.5 because D is a proper subset of B P(A B) = P(A)+P(B)- P(A B) = 0.36+0.5-0.18 = 0.68 b) Are A and B independent? Show why or why not. P(A)P(B) = 0.36*0.5 = 0.18 = P(A B) = 0.18 Therefore they are independent c) Find P(B) P(B) = P(B D) = 0.5 because D is a proper subset of B d)
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Exam 1.2Solutions - IE 111 10:00 Section Exam 1.2 Fall 2007...

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