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# HW 5 - Stat 133 HW 5 Spring 2011 Name Please read and...

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Stat 133 HW 5 Spring 2011 Name: ______________________________ Please read and follow the HW policies and academic integrity expectations posted on Carmen. Print off this document and write your final answers in the blanks provided. Must show all work for any credit. Use probability symbols throughout or you will lose points. 1. Problem 5.2 in your textbook; page 315 Conclusion: YES NO: EXPLANATION (One sentence only; that is all we will grade): We have no evidence to say those two probabilities are independent so we can't apply independent multiplication rule here. 2. Problem 5.4 in your textbook; page 316 P(A+|D)=0.9 P(B+|D)=0.8 P(A- and B-|D)=P(A-|D)*P(B-|D)=(1-0.9)*(1-0.8)=0.02 Ans________________ 3. Problem 5.10 parts b and c (only); page 320 P(A)=0.71 P(B|A)=0.15 and P(B|Ac)=0----if they are not interested in Iphone they won't switch Part b: Ans b)________________ P(B)=P(A and B)+P(Ac and B)=P(A and B)=P(B|A)*P(A)=0.15*0.71 P(A or B)=P(A)+P(B)-P(A and B)=0.71

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Part c: Yes they are equal. But A and B are not independent in this case. (This is a special case) Usually you can still use P(A and B)=P(A)*P(B) to test for independence in our class. 4. Problem 5.76; page 350 Tree: Not be able to type it up... P(R)=0.4 P(M)=0.35 P(P)=0.25 P(>20|R)=0.3 P(>20|M)=0.5 P(>20|P)=0.6

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