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 | :: Exercise 1.13 - Free Statistics Software (Calculator) :: | |
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All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.
This free online software (calculator) computes a solution for Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)
Click here to edit the underlying code of this R Module.Click here to edit the underlying code of this R Module.
| Source code of R module | | 1 | par1 <- as.numeric(par1) | | 2 | par2 <- as.numeric(par2) | | 3 | par3 <- as.numeric(par3) | | 4 | par4 <- as.numeric(par4) | | 5 | numsuccessbig <- 0 | | 6 | numsuccesssmall <- 0 | | 7 | bighospital <- array(NA,dim=c(par1,par2)) | | 8 | smallhospital <- array(NA,dim=c(par1,par3)) | | 9 | bigprob <- array(NA,dim=par1) | | 10 | smallprob <- array(NA,dim=par1) | | 11 | for (i in 1:par1) { | | 12 | bighospital[i,] <- sample(c("F","M"),par2,replace=TRUE) | | 13 | if (as.matrix(table(bighospital[i,]))[2] > par4*par2) numsuccessbig = numsuccessbig + 1 | | 14 | bigprob[i] <- numsuccessbig/i | | 15 | smallhospital[i,] <- sample(c("F","M"),par3,replace=TRUE) | | 16 | if (as.matrix(table(smallhospital[i,]))[2] > par4*par3) numsuccesssmall = numsuccesssmall + 1 | | 17 | smallprob[i] <- numsuccesssmall/i | | 18 | } | | 19 | tbig <- as.matrix(table(bighospital)) | | 20 | tsmall <- as.matrix(table(smallhospital)) | | 21 | tbig | | 22 | tsmall | | 23 | numsuccessbig/par1 | | 24 | bigprob[par1] | | 25 | numsuccesssmall/par1 | | 26 | smallprob[par1] | | 27 | numsuccessbig/par1*365 | | 28 | bigprob[par1]*365 | | 29 | numsuccesssmall/par1*365 | | 30 | smallprob[par1]*365 | | 31 | bitmap(file="test1.png") | | 32 | plot(bigprob,col=2,main="Probability in Large Hospital",xlab="#simulated days",ylab="probability") | | 33 | dev.off() | | 34 | bitmap(file="test2.png") | | 35 | plot(smallprob,col=2,main="Probability in Small Hospital",xlab="#simulated days",ylab="probability") | | 36 | dev.off() | | 37 | load(file="createtable") | | 38 | a<-table.start() | | 39 | a<-table.row.start(a) | | 40 | a<-table.element(a,"Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)",2,TRUE) | | 41 | a<-table.row.end(a) | | 42 | a<-table.row.start(a) | | 43 | a<-table.element(a,"Number of simulated days",header=TRUE) | | 44 | a<-table.element(a,par1) | | 45 | a<-table.row.end(a) | | 46 | a<-table.row.start(a) | | 47 | a<-table.element(a,"Expected number of births in Large Hospital",header=TRUE) | | 48 | a<-table.element(a,par2) | | 49 | a<-table.row.end(a) | | 50 | a<-table.row.start(a) | | 51 | a<-table.element(a,"Expected number of births in Small Hospital",header=TRUE) | | 52 | a<-table.element(a,par3) | | 53 | a<-table.row.end(a) | | 54 | a<-table.row.start(a) | | 55 | a<-table.element(a,"Percentage of Male births per day
(for which the probability is computed)",header=TRUE) | | 56 | a<-table.element(a,par4) | | 57 | a<-table.row.end(a) | | 58 | a<-table.row.start(a) | | 59 | a<-table.element(a,"#Females births in Large Hospital",header=TRUE) | | 60 | a<-table.element(a,tbig[1]) | | 61 | a<-table.row.end(a) | | 62 | a<-table.row.start(a) | | 63 | a<-table.element(a,"#Males births in Large Hospital",header=TRUE) | | 64 | a<-table.element(a,tbig[2]) | | 65 | a<-table.row.end(a) | | 66 | a<-table.row.start(a) | | 67 | a<-table.element(a,"#Female births in Small Hospital",header=TRUE) | | 68 | a<-table.element(a,tsmall[1]) | | 69 | a<-table.row.end(a) | | 70 | a<-table.row.start(a) | | 71 | a<-table.element(a,"#Male births in Small Hospital",header=TRUE) | | 72 | a<-table.element(a,tsmall[2]) | | 73 | a<-table.row.end(a) | | 74 | a<-table.row.start(a) | | 75 | dum1 <- paste("Probability of more than", par4*100, sep=" ") | | 76 | dum <- paste(dum1, "Male births in Large Hospital", sep=" ") | | 77 | a<-table.element(a, dum, header=TRUE) | | 78 | a<-table.element(a, bigprob[par1]) | | 79 | a<-table.row.end(a) | | 80 | dum <- paste(dum1, "Male births in Small Hospital", sep=" ") | | 81 | a<-table.element(a, dum, header=TRUE) | | 82 | a<-table.element(a, smallprob[par1]) | | 83 | a<-table.row.end(a) | | 84 | a<-table.row.start(a) | | 85 | dum1 <- paste("#Days per Year when more than", par4*100, sep=" ") | | 86 | dum <- paste(dum1, "Male births occur in Large Hospital", sep=" ") | | 87 | a<-table.element(a, dum, header=TRUE) | | 88 | a<-table.element(a, bigprob[par1]*365) | | 89 | a<-table.row.end(a) | | 90 | dum <- paste(dum1, "Male births occur in Small Hospital", sep=" ") | | 91 | a<-table.element(a, dum, header=TRUE) | | 92 | a<-table.element(a, smallprob[par1]*365) | | 93 | a<-table.row.end(a) | | 94 | a<-table.end(a) | | 95 | table.save(a,file="mytable.tab") |
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| Cite this software as: | | Wessa P., (2008), Excercise 1.13 of Introduction to Probability (v1.0.1) in Free Statistics Software (v1.1.23-r2), 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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Wessa, P. (2008), Free Statistics Software, Office for Research Development and Education,
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