Ross Chp. 1-3 Formulas - Thm 3 For a set of n elements take...

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

Thm 5: For either ordered or unordered random sampling w/o replacement, the probability that a specific item is included in a sample of size r from a population of size n is r/n. Thm 6: An unordered random sample w/o replacement can be obtained by drawing an ordered random sample w/o replacement and ignoring the order. Thm 3: For a set of n elements, take n1, n2, n3, ... nr such that n1 + n2 + n3 + ... nr = n. It is desired to divide (or partition) the set into r subsets, the first of which has n1 elements, the second
Image of page 1

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

Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: has n2 elements, . .., and the rth has n r elements. The number of distinct ways in which this can be done is n!/n1!n2!. .nr!). Equivalently: Given n objects, n1 of which are of indistinguishable kind, n2 of which are of a second indistinguishable kind, . .., and nr are of rth indistinguishable kind, then the number of distinguishable permutations of the n objects is exactly n!/(n1!n2!.!)....
View Full Document

  • Fall '06
  • random sample w/o, sample w/o replacement, indistinguishable kind

{[ 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