1 / 5

Exercises

Exercises. Central limit theorem. Exercises. The binomial distribution converges against the normal distribution since it is a sum of independent and identically distributed random variables, X~Bin ( n,p ) and : -> N(0,1 ). Exercises.

gyala
Download Presentation

Exercises

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Exercises Central limittheorem

  2. Exercises • The binomialdistributionconvergesagainstthe normal distributionsinceitis a sumofindependentandidenticallydistributedrandom variables, X~Bin(n,p) and: -> N(0,1)

  3. Exercises • whereand for Bernoulli-variables. (Binomial: and )

  4. Exercises • Exercise: n=120, p=0.515, X~Bin(n,p), binomialdistribution • Compute P(X >=70)!

  5. Exercises • Exercise: n=120, p=0.515, X~Bin(n,p), binomialdistribution • Compute P(X >=70)! • witch Z~N(0,1) asymptotic N(0,1) distributedaccordingtocentrallimittheorem

More Related