{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

2.13 - G)P G = 0.7 × 0.6 1 × 0.6 – 0.7 × 1 × 0.6 0.7...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
2.13 (a) C = [(L M) G]] [(LM) G ] (b) Since (L M)G is contained in G, it is mutually exclusive to (LM) G which is contained in G . Hence P(C) is simply the sum of two terms, P(C) = P[(L M) G]] + P[(L M) G ] = P(LG MG) + P(L)P(M G ) = P(LG) + P(MG) – P(LMG) + P(L)P(M| G )P( G ) = P(L)P(G) + P(M|G)P(G) – P(L)P(M|G)P(G)+ P(L)P(M| G )P( G )
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: G )P( G ) = 0.7 × 0.6 + 1 × 0.6 – 0.7 × 1 × 0.6 + 0.7 × 0.5 × 0.4 = 0.74 (c) P( L|C) = P( LC)/P(C) = P( L{[(L ∪ M) G]} ∪ [(LM) G ])) / P(C) = P[ L (L ∪ M) G]] / P(C) since ( LL)M G is an impossible event = P( LMG) / P(C) = P( L)P(MG) / P(C) = P( L)P(M|G)P(G) / P(C) = 0.3 × 1 × 0.6 / 0.74 ≅ 0.243...
View Full 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