cheat sheet STAT - Bayes theorem A team consisting of three...

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

View Full Document Right Arrow Icon
Bayes theorem A team consisting of three boys and four girls must be formed from a group of nine boys and eight girls. If two of the girls are feuding and refuse to play on the same team, how many possibilities do we have? Sol 1 C(8 4)*C(9 3) - C(6 2)*C(9 3)=4620 Sol2 C(6 4)*C(9 3) + 2*( C(6 3)*C(9 3) ) For three events A;B;C, let A and B be independent, and C((-B . Find P(A((-B ((-C), when P(A) = 0.5, P(B) = 0.3 and P(C) = 0.01. Also find P(A U B U C), when P(C) = 0.2. Sol AUBUC =AUB (C((-B) P(AUBUC)=P(A)+P(B)-P(A(|)B)=P(A)+P(B)-P(A)*P(B)=0.5+0.3-0.5*0.3=.65 Suppose that 12 married couples take part in a contest. If 12 persons each win a prize, what is the probability that one from each couple is a winner. Sol (2^120 / C(24 12) To travel to Bangalore, India from State College, you need to change airplanes in Cincinnati, Atlanta, Paris and Mumbai. Suppose the pieces of luggage are lost independently at each of these airports. Suppose the chance of losing each piece of luggage at Paris airport is 4% and it is 5% at each of the other airports. If you are traveling with one piece of luggage in the baggage compartment,
Image of page 1
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