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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.
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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