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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_babies.wasp
Title produced by softwareExercise 1.13
Date of computationMon, 13 Oct 2008 12:53:51 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/13/t1223924069mvdiac8zic64ikw.htm/, Retrieved Sun, 02 Nov 2025 22:55:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15924, Retrieved Sun, 02 Nov 2025 22:55:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact359

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Exercise 1.13] [Exercise 1.13 (Wo...] [2008-10-01 13:28:34] [b98453cac15ba1066b407e146608df68]
F R P     [Exercise 1.13] [Exercise 1.13] [2008-10-13 18:53:51] [3c578cc84eacdf90cb69ef674ce02a4f] [Current]
- R P       [Exercise 1.13] [jongens meer dan ...] [2008-10-18 14:07:59] [f5709eefd05c649ca6dad46019ffd879]
- R P       [Exercise 1.13] [meer dan 60% jong...] [2008-10-18 14:17:05] [f5709eefd05c649ca6dad46019ffd879]
- R P       [Exercise 1.13] [meer dan 60% jong...] [2008-10-18 14:20:04] [f5709eefd05c649ca6dad46019ffd879]
- R P       [Exercise 1.13] [meer dan 80% jongens] [2008-10-18 14:32:11] [f5709eefd05c649ca6dad46019ffd879]
- R P       [Exercise 1.13] [] [2008-10-18 15:00:36] [f5709eefd05c649ca6dad46019ffd879]
- R P       [Exercise 1.13] [] [2008-10-18 15:02:35] [f5709eefd05c649ca6dad46019ffd879]
- R P       [Exercise 1.13] [] [2008-10-18 15:04:09] [f5709eefd05c649ca6dad46019ffd879]
Feedback Forum
2008-10-18 09:06:53 [8e2cc0b2ef568da46d009b2f601285b2] [reply] 
De student heeft de foute parameter veranderd en hiermee de opgave veranderd. De correcte oplossing is het aantal dagen vergroten zodat de waarschijnlijkheid meer tijd heeft om zich te convergeren.

Indien je het aantal dagen vergroot zal je merken dat de waarschijnlijkheid stabieler is. (Wet van de grote getallen)
2008-10-18 09:13:21 [8e2cc0b2ef568da46d009b2f601285b2] [reply] 
De *Unverified author* bovenaan de berekening wijst erop dat de student de berekening mogelijk foutief heeft opgeslagen. Hierdoor kan men niet zeker zijn dat hij de eigenlijke auteur is.
2008-10-18 14:24:49 [Siem Van Opstal] [reply] 
Fout antwoord, als je het aantal verwachte geboortes verandert, verander je de opgave. Je moet het aantal dagen wijzigen. Hoe meer jaren, hoe nauwkeuriger de resultaten. Ik heb 3 berekeningen gedaan en mijn resultaten waren 14.9; 15.2 en 15.7. Het verschil tussen de 3 blijft kleiner dan 1%, de nauwkeurigheid is dus groter geworden.

http://www.freestatistics.org/blog/date/2008/Oct/18/t1224338959zf5zamm4xzs3vig.htm
http://www.freestatistics.org/blog/date/2008/Oct/18/t12243395427kaytpsb769bzkj.htm
http://www.freestatistics.org/blog/date/2008/Oct/18/t1224339681h1eum6fvzg5vqge.htm
2008-10-19 15:12:39 [Chi-Kwong Man] [reply] 
The answer is wrong, by changing the number of births the question will be changed. We have to change the number of days here.
2008-10-19 19:22:44 [Stéphanie Thijs] [reply] 
Ik ga akkoord met de voorgaande posts: de vraagstelling wordt veranderd door het aantal verwachte geboortes te veranderen. Het vergroten van de tijdspanne van 365 dagen naar 3650 dagen zal echter wel een juister resultaat geven zonder de vraagstelling te veranderen.

Post a new message

Dataset

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15924&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15924&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15924&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132






Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)
Number of simulated days365
Expected number of births in Large Hospital45
Expected number of births in Small Hospital40
Percentage of Male births per day(for which the probability is computed)0.6
#Females births in Large Hospital8194
#Males births in Large Hospital8231
#Female births in Small Hospital7289
#Male births in Small Hospital7311
Probability of more than 60 % of male births in Large Hospital0.0794520547945206
Probability of more than 60 % of male births in Small Hospital0.0602739726027397
#Days per Year when more than 60 % of male births occur in Large Hospital29
#Days per Year when more than 60 % of male births occur in Small Hospital22

\begin{tabular}{lllllllll}
\hline
Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.) \tabularnewline
Number of simulated days & 365 \tabularnewline
Expected number of births in Large Hospital & 45 \tabularnewline
Expected number of births in Small Hospital & 40 \tabularnewline
Percentage of Male births per day(for which the probability is computed) & 0.6 \tabularnewline
#Females births in Large Hospital & 8194 \tabularnewline
#Males births in Large Hospital & 8231 \tabularnewline
#Female births in Small Hospital & 7289 \tabularnewline
#Male births in Small Hospital & 7311 \tabularnewline
Probability of more than 60 % of male births in Large Hospital & 0.0794520547945206 \tabularnewline
Probability of more than 60 % of male births in Small Hospital & 0.0602739726027397 \tabularnewline
#Days per Year when more than 60 % of male births occur in Large Hospital & 29 \tabularnewline
#Days per Year when more than 60 % of male births occur in Small Hospital & 22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15924&T=1

[TABLE]
[ROW][C]Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)[/C][/ROW]
[ROW][C]Number of simulated days[/C][C]365[/C][/ROW]
[ROW][C]Expected number of births in Large Hospital[/C][C]45[/C][/ROW]
[ROW][C]Expected number of births in Small Hospital[/C][C]40[/C][/ROW]
[ROW][C]Percentage of Male births per day(for which the probability is computed)[/C][C]0.6[/C][/ROW]
[ROW][C]#Females births in Large Hospital[/C][C]8194[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8231[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]7289[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]7311[/C][/ROW]
[ROW][C]Probability of more than 60 % of male births in Large Hospital[/C][C]0.0794520547945206[/C][/ROW]
[C]Probability of more than 60 % of male births in Small Hospital[/C][C]0.0602739726027397[/C][/ROW]
[ROW][C]#Days per Year when more than 60 % of male births occur in Large Hospital[/C][C]29[/C][/ROW]
[C]#Days per Year when more than 60 % of male births occur in Small Hospital[/C][C]22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15924&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15924&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)
Number of simulated days365
Expected number of births in Large Hospital45
Expected number of births in Small Hospital40
Percentage of Male births per day(for which the probability is computed)0.6
#Females births in Large Hospital8194
#Males births in Large Hospital8231
#Female births in Small Hospital7289
#Male births in Small Hospital7311
Probability of more than 60 % of male births in Large Hospital0.0794520547945206
Probability of more than 60 % of male births in Small Hospital0.0602739726027397
#Days per Year when more than 60 % of male births occur in Large Hospital29
#Days per Year when more than 60 % of male births occur in Small Hospital22


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 365 ; par2 = 45 ; par3 = 40 ; par4 = 0.6 ;
Parameters (R input):
par1 = 365 ; par2 = 45 ; par3 = 40 ; par4 = 0.6 ;
R code (references can be found in the software 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')