# ::Free Statistics and Forecasting Software::

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### :: Exercise 1.13 - Free Statistics Software (Calculator) ::

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This free online software (calculator) computes a solution for Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)

 Send output to: Browser Blue - Charts White Browser Black/White CSV MS Excel MS Word Number of simulated days 36573010951460182521902555292032853650 Expected number of births in Large Hospital 4550556065707580859095100105110 Expected number of births in Small Hospital 152025303540 Percentage of Male births per day(for which the probability is computed) 0.60.650.70.750.80.850.9 Chart options Width: Height:

Click here to edit the underlying code of this R Module.

 Source code of R module 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 tsmall numsuccessbig/par1 bigprob[par1] numsuccesssmall/par1 smallprob[par1] numsuccessbig/par1*365 bigprob[par1]*365 numsuccesssmall/par1*365 smallprob[par1]*365 bitmap(file="test1.png") plot(bigprob,col=2,main="Probability in Large Hospital",xlab="#simulated days",ylab="probability") dev.off() bitmap(file="test2.png") plot(smallprob,col=2,main="Probability in Small Hospital",xlab="#simulated days",ylab="probability") dev.off() load(file="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
(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 more 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 more 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="mytable.tab")
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 Cite this software as: Wessa P., (2012), Excercise 1.13 of Introduction to Probability (v1.0.3) in Free Statistics Software (v1.1.23-r7), Office for Research Development and Education, URL http://www.wessa.net/rwasp_babies.wasp/ The R code is based on : Grinstead, Charles and Laurie Snell, Introduction to Probability, http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/book.html
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 To cite Wessa.net in publications use:Wessa, P. (2013), Free Statistics Software, Office for Research Development and Education, version 1.1.23-r7, URL http://www.wessa.net/ © All rights reserved. Academic license for non-commercial use only. The free use of the scientific content, services, and applications in this website is granted for non commercial use only. In any case, the source (url) should always be clearly displayed. Under no circumstances are you allowed to reproduce, copy or redistribute the design, layout, or any content of this website (for commercial use) including any materials contained herein without the express written permission. Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. We make no warranties or representations as to the accuracy or completeness of such information (or software), and it assumes no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site. Software Version : 1.1.23-r7Algorithms & Software : Patrick Wessa, PhDServer : www.wessa.net
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