Exercises

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# Exercises - PowerPoint PPT Presentation

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 : -&gt; N(0,1 ). Exercises.

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## PowerPoint Slideshow about 'Exercises' - gyala

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### Exercises

Central limittheorem

Exercises
• The binomialdistributionconvergesagainstthe normal distributionsinceitis a sumofindependentandidenticallydistributedrandom variables, X~Bin(n,p) and: -> N(0,1)
Exercises
• whereand for Bernoulli-variables. (Binomial: and )
Exercises
• Exercise: n=120, p=0.515, X~Bin(n,p), binomialdistribution
• Compute P(X >=70)!
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