File:Binomial distribution cdf.svg

Summary

R source code

# R source code for Wikipedia SVG plot of Binomial CDF
# by de:User:Sigbert, Feb 2010

require("RSvgDevice")

create.binomial.cdf <- function(N, p, colour="black", pch=16) {
 n <- max(length(N),length(p),length(colour),length(pch))
 N <- rep(N,length=n); p <- rep(p,length=n)
 colour <- rep(colour,length=n); pch <- rep(pch,length=n) 

 add.one.series <- function(N, p, colour, pch, maxN) {
   cdf <- pbinom(0:N, N, p)
#   lines(0:N, cdf, type="s", col=colour)
   for (i in 1:N) lines (c(i-1,i), c(cdf[i], cdf[i]), type="s", col=colour)
   lines(c(N,maxN), c(1, 1), type="s", col=colour)
   points(0:N, cdf, col=colour, pch=pch)
 }
 
 par(lwd=1.5, cex=1, mar=c(3.1,2.5,0.5,0.5))
 plot(1, xlim=c(0,max(N)), ylim=c(0,1), type="n", xlab="", ylab="")
 for (i in 1:n)
   add.one.series(N[i],p[i],colour[i],pch[i], max(N))
   
 text = paste("p=",rev(p)," and N=",rev(N),sep="")
 legend(max(N), 0, legend=text, xjust=1, yjust=0,
   pch=rev(pch), lwd=rep(par("lwd"),3), col=rev(colour), y.intersp=1.5, bty="n")
}

devSVG("Binomial_distribution_cdf.svg",width=4,height=3)
create.binomial.cdf(c(40,20,20), c(0.5,0.7,0.5), c("red","green","blue"), c(20,15,18))
dev.off()

Licensing

I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Public domainPublic domainfalsefalse

Simulation – very broad term – methods and applications to imitate or mimic real systems, usually via computer Applies in many fields and industries Very popular and powerful method Book covers simulation in general and the Arena simulation software in particular This chapter – general ideas, terminology, examples of applications, good/bad things, kinds of simulation, software options, how/when simulation is used System – facility or process, actual or planned Examples abound … Manufacturing facility Bank or other personal-service operation Transportation/logistics/distribution operation Hospital facilities (emergency room, operating room, admissions) Computer network Freeway system Business process (insurance office) Criminal justice system Chemical plant Fast-food restaurant Supermarket Theme park Emergency-response system....

• Binomial distribution