hw11 - Solution for HW1 STA113 ISDS September 5 2004 13 a...

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Solution for HW1 STA113 ISDS September 5, 2004 § 13. a. A 1 A 2 = { awarded project 1 or 2 } P ( A 1 A 2 ) = P ( A 1 ) + P ( A 2 ) - P ( A 1 A 2 ) = 0 . 22 + 0 . 25 - 0 . 11 = 0 . 36 b. A 0 1 A 0 2 = { awarded neither project 1 nor 2 } P ( A 0 1 A 0 2 ) = P (( A 1 A 2 ) 0 ) = 1 - P ( A 1 A 2 ) = 0 . 64 c. A 1 A 2 A 3 = { awarded at least one project from 1 ,2, and 3 } P ( A 1 A 2 A 3 ) = P ( A 1 ) + P ( A 2 ) + P ( A 3 ) - P ( A 1 A 2 ) - P ( A 1 A 3 ) - P ( A 2 A 3 ) + P ( A 1 A 2 A 3 ) = 0 . 53 d A 0 1 A 0 2 A 0 3 = { awarded none of 1,2,3 } P ( A 0 1 A 0 2 A 0 3 ) = P (( A 1 A 2 A 3 ) 0 ) = 1 - 0 . 53 = 0 . 47 1
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e. A 0 1 A 0 2 A 3 = { only awarded project 3 } P ( A 0 1 A 0 2 A 3 ) = 0 . 17 Hint : P ( A 0 1 A 0 2 A 3 ) + P ( A 0 1 A 0 2 A 0 3 ) = P ( A 0 1 A 0 2 ) f, ( A 0 1 A 0 2 ) A 3 = { awarded project 3, or awarded neither project 1 nor 2 } P (( A 0 1 A 0 2 ) A 3 ) = P ( A 0 1 A 0 2 )+ P ( A 3 ) - P ( A 0 1 A 0 2 A 3 ) = 0 . 75 § 26. a.
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This note was uploaded on 04/30/2011 for the course MECHANICAL MSC taught by Professor Dr.rahula during the Spring '10 term at University of Moratuwa.

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hw11 - Solution for HW1 STA113 ISDS September 5 2004 13 a...

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