probexamp

# Probexamp - More Probability Examples(Probability Reviewed Example 1 Each of a sample of four home mortgages is classi.ed as.xed rate(F or variable

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More Probability Examples (Probability Reviewed) Example 1 Each of a sample of four home mortgages is classi…ed as …xed rate ( F ) or variable rate ( V ). a. What are the 16 outcomes in S ? Solution S = { FFFF , FFFV , FFV F , FV FF , FV FV , FV V F , FV V V , V FFF , V FFV , V FV F , V FV V , V V FF , V V FV , V V V F , V V V V }. b. Which outcomes are in the event that exactly three of the selected mortgages are a …xed rate? Solution A = { FFFV , FFV F , FV FF , V FFF }. c. Which outcomes are in the event that all four mortgages are of the same type? Solution B = { FFFF , V V V V }. d. Which outcomes are in the event that at most one of the four is a variable-rate mortgage? Solution C = { FFFF , FFFV , FFV F , FV FF , V FFF }. e. What are the union and intersection of the two events in parts b and d ? Solution A [ C = { FFFV , FFV F , FV FF , V FFF , FFFF , V V V V }; A \ C = A: f. What are the union and intersection of the two events in parts c and d ? Solution B [ C = { FFFV , FFV F , FV FF , V FFF , FFFF , V V V V }; B \ C = { FFFF }. Example 2 A construction …rm is working on two di¤erent projects. Let A be the event that the …rst one is completed by the contract date and de…ne B analogously for the second project. If

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## This note was uploaded on 01/08/2012 for the course EXST 4050 taught by Professor Staff during the Fall '10 term at LSU.

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Probexamp - More Probability Examples(Probability Reviewed Example 1 Each of a sample of four home mortgages is classi.ed as.xed rate(F or variable

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