{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

204 6.2 binomial dist - 6.2 The Binomial Distribution A...

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

View Full Document Right Arrow Icon
6.2 The Binomial Distribution A binomial distribution occurs when an experiment with two possible outcomes ( success or failure ) is repeated several times. Each repetition of the experiment is called a trial . Examples of binomial distributions are: a) The number of defectives in a sample from an assembly line b) The number of questions correct on a multiple choice exam When answers are chosen by guessing c) The number of heads in n flips of a coin Note that the trials result in only success or failure and not a numerical value, thus only categorical data are needed for a binomial distribution. Requirements for a Binomial Distribution: 1) A fixed number of trials n 2) Each trial results in either success or failure 3) The probability of success, p, is constant for all trials 4) The trials are independent Example: Let’s now calculate the probability of 2 defectives in a sample of size 5. Assume the manufacturing process has a 10% defective rate (p = .10); thus the probability of first getting two
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
Image of page 2
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