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Number of Tosses
Probability
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R Code
n <- as.numeric(par1) p <- as.numeric(par2) heads=rbinom(n-1,1,p) a=2*(heads)-1 b=diffinv(a,xi=0) c=1:n pheads=(diffinv(heads,xi=.5))/c bitmap(file='test1.png') op=par(mfrow=c(2,1)) plot(c,b,type='n',main='Law of Averages',xlab='Toss Number',ylab='Excess of Heads',lwd=2,cex.lab=1.5,cex.main=2) lines(c,b,col='red') lines(c,rep(0,n),col='black') plot(c,pheads,type='n',xlab='Toss Number',ylab='Proportion of Heads',lwd=2,cex.lab=1.5) lines(c,pheads,col='blue') lines(c,rep(.5,n),col='black') par(op) dev.off() b x <- b bitmap(file='test1.png') r <- spectrum(x,main='Raw Periodogram') dev.off() r bitmap(file='test2.png') cpgram(x,main='Cumulative Periodogram') dev.off()
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