 # File:Binomial distribution cdf.svg

## Summary

 Description Binomial distribution cumulative distribution function Date 2 March 2008 Source Own work Author Tayste

## 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)

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()
```

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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....

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