{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

4-1(cont)_trees - Section 4.1(cont Probability Trees A...

Info icon This preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Section 4.1 (cont.) Probability Trees A Graphical Method for Complicated Probability Problems
Image of page 1

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

View Full Document Right Arrow Icon
Example: Southwest Energy A Southwest Energy Company pipeline has 3 safety  shutoff valves in case the line starts to leak. The valves are designed to operate independently of  one another: 7% chance that valve 1 will fail 10% chance that valve 2 will fail 5% chance that valve 3 will fail  If there is a leak in the line, find the following  probabilities: a. That all three valves operate correctly b. That all three valves fail c. That only one valve operates correctly d. That at least one valve operates correctly
Image of page 2
A: P(all three valves operate correctly) P(all three valves work) = .93*.90*.95 = .79515
Image of page 3

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

View Full Document Right Arrow Icon
B: P(all three valves fail) P(all three valves fail) = .07*.10*.05 = .00035
Image of page 4
C: P(only one valve operates correctly) P(only one valve operates correctly = P(only V1 works) +P(only V2 works) +P(only V3 works) = .93*.10*.05 +.07*.90*.05 +.07*.10*.95 = .01445
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern