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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 7

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online