R version 2.7.2 (2008-08-25)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> par4 = '0.6'
> par3 = '15'
> par2 = '45'
> par1 = '365'
> par1 <- as.numeric(par1) 
> par2 <- as.numeric(par2) 
> par3 <- as.numeric(par3) 
> par4 <- as.numeric(par4) 
> numsuccessbig <- 0 
> numsuccesssmall <- 0 
> bighospital <- array(NA,dim=c(par1,par2)) 
> smallhospital <- array(NA,dim=c(par1,par3)) 
> bigprob <- array(NA,dim=par1) 
> smallprob <- array(NA,dim=par1) 
> for (i in 1:par1) { 
+ bighospital[i,] <- sample(c('F','M'),par2,replace=TRUE) 
+ if (as.matrix(table(bighospital[i,]))[2] < par4*par2) numsuccessbig = numsuccessbig + 1 
+ bigprob[i] <- numsuccessbig/i 
+ smallhospital[i,] <- sample(c('F','M'),par3,replace=TRUE) 
+ if (as.matrix(table(smallhospital[i,]))[2] < par4*par3) numsuccesssmall = numsuccesssmall + 1 
+ smallprob[i] <- numsuccesssmall/i 
+ } 
> tbig <- as.matrix(table(bighospital)) 
> tsmall <- as.matrix(table(smallhospital)) 
> tbig 
  [,1]
F 8228
M 8197
> tsmall 
  [,1]
F 2786
M 2689
> numsuccessbig/par1 
[1] 0.8739726
> bigprob[par1] 
[1] 0.8739726
> numsuccesssmall/par1 
[1] 0.7315068
> smallprob[par1] 
[1] 0.7315068
> numsuccessbig/par1*365 
[1] 319
> bigprob[par1]*365 
[1] 319
> numsuccesssmall/par1*365 
[1] 267
> smallprob[par1]*365 
[1] 267
> postscript(file="/var/www/html/rcomp/tmp/1t37k1223814020.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(bigprob,col=2,main='Kans in het grote ziekenhuis',xlab='#simulated days',ylab='probability') 
> dev.off() 
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/2ffjd1223814020.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(smallprob,col=2,main='Kans in het kleine ziekenhuis',xlab='#simulated days',ylab='probability') 
> dev.off() 
null device 
          1 
> 
> #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/rcomp/createtable")
>  
> a<-table.start() 
> a<-table.row.start(a) 
> a<-table.element(a,'Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)',2,TRUE) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> a<-table.element(a,'Number of simulated days',header=TRUE) 
> a<-table.element(a,par1) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> a<-table.element(a,'Expected number of births in Large Hospital',header=TRUE) 
> a<-table.element(a,par2) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> a<-table.element(a,'Expected number of births in Small Hospital',header=TRUE) 
> a<-table.element(a,par3) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> a<-table.element(a,'Percentage of Male births per day<br />(for which the probability is computed)',header=TRUE) 
> a<-table.element(a,par4) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> a<-table.element(a,'#Females births in Large Hospital',header=TRUE) 
> a<-table.element(a,tbig[1]) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> a<-table.element(a,'#Males births in Large Hospital',header=TRUE) 
> a<-table.element(a,tbig[2]) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> a<-table.element(a,'#Female births in Small Hospital',header=TRUE) 
> a<-table.element(a,tsmall[1]) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> a<-table.element(a,'#Male births in Small Hospital',header=TRUE) 
> a<-table.element(a,tsmall[2]) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> dum1 <- paste('Probability of less than', par4*100, sep=' ') 
> dum <- paste(dum1, '% of male births in Large Hospital', sep=' ') 
> a<-table.element(a, dum, header=TRUE) 
> a<-table.element(a, bigprob[par1]) 
> a<-table.row.end(a) 
> dum <- paste(dum1, '% of male births in Small Hospital', sep=' ') 
> a<-table.element(a, dum, header=TRUE) 
> a<-table.element(a, smallprob[par1]) 
> a<-table.row.end(a) 
> a<-table.row.start(a) 
> dum1 <- paste('#Days per Year when less than', par4*100, sep=' ') 
> dum <- paste(dum1, '% of male births occur in Large Hospital', sep=' ') 
> a<-table.element(a, dum, header=TRUE) 
> a<-table.element(a, bigprob[par1]*365) 
> a<-table.row.end(a) 
> dum <- paste(dum1, '% of male births occur in Small Hospital', sep=' ') 
> a<-table.element(a, dum, header=TRUE) 
> a<-table.element(a, smallprob[par1]*365) 
> a<-table.row.end(a) 
> a<-table.end(a) 
> table.save(a,file="/var/www/html/rcomp/tmp/35w3n1223814020.tab") 
> system("convert tmp/1t37k1223814020.ps tmp/1t37k1223814020.png")
> system("convert tmp/2ffjd1223814020.ps tmp/2ffjd1223814020.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.065   0.365   1.176