STAT 201 Normal Approximation

STAT 201 Normal Approximation - STAT 201 Recitation May to...

Info icon This preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Click to edit Master subtitle style 9/26/11 STAT 201 Recitation May 21st, 2010
Image of page 1

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

View Full Document Right Arrow Icon
9/26/11 Quick Review of Binomial Distribution n identical & independent trials Constant success probability π (or denoted as p sometime) Mean µ= n π Standard deviation 1- n σ π π =
Image of page 2
9/26/11 How to figure out Binomial Distribution problems? When n is small (n≤25), we use Binomial table to figure out the binomial problems But…. If n>25, now how to figure them out??? Use Normal Approximation! That is, convert a binomial distribution problem to be a normal distribution problem.
Image of page 3

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

View Full Document Right Arrow Icon
Click to edit Master subtitle style 9/26/11 Normal Approximation Of The Binomial Distribution: then a binomial distribution can be approximated as normal distribution with µ= n π If n, and   are such that: π n   5 π n (1- )  π ≥ 5 1- n σ π π =
Image of page 4
9/26/11 Example Problem: A hotel has 100 rooms and the probability a room is occupied on any given night is 0.6. Assume the conditions of the binomial are met for the number of occupied rooms on any given night. (a) Find the probability that exactly 65 rooms are occupied
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

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

View Full Document Right Arrow Icon
Image of page 8
Image of page 9

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

View Full Document Right Arrow Icon
Image of page 10
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