lecture4 notes

lecture4 notes - LECTURE 4 Discrete uniform law Readings...

This preview shows pages 1–2. Sign up to view the full content.

LECTURE 4 Discrete uniform law Readings: Section 1.6 Let all sample points be equally likely Then, Lecture outline number of elements of A A P ( A ) = = | | total number of sample points Principles of counting | | Just count . . . Many examples permutations k -permutations combinations partitions Binomial probabilities Basic counting principle Example r stages Probability that six rolls of a six-sided die n i choices at stage i all give di ff erent numbers? Number of outcomes that make the event happen: Number of elements in the sample space: Number of choices is: n 1 n 2 · · · n r Answer: Number of license plates with 3 letters and 4 digits = . . . if repetition is prohibited = Permutations: Number of ways of ordering n elements is: Number of subsets of { 1 , . . . , n } = 1

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

View Full Document
Combinations Binomial probabilities n : number of k -element subsets k n independent coin tosses of a given n -element set P ( H ) = p Two ways of constructing an ordered
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern