# Re: [R] Looking for simpler solution to probabilistic question

From: Dimitris Rizopoulos <dimitris.rizopoulos_at_med.kuleuven.be>
Date: Tue, 15 Jan 2008 13:55:34 +0100

can be replaced by

outer(age2, age1, "+")

and the same for 'p'.

Best,
Dimitris

Dimitris Rizopoulos
Ph.D. Student
Biostatistical Centre
School of Public Health
Catholic University of Leuven

```Tel: +32/(0)16/336899
Fax: +32/(0)16/337015
Web: http://med.kuleuven.be/biostat/
http://www.student.kuleuven.be/~m0390867/dimitris.htm

```
• Original Message ----- From: "Rainer M Krug" <R.M.Krug_at_gmail.com> To: "r-help" <r-help_at_stat.math.ethz.ch> Sent: Tuesday, January 15, 2008 1:24 PM Subject: [R] Looking for simpler solution to probabilistic question

> Hi
>
> I have two processes which take with a certain probability (p1 and
> p2) x
> number of years to complete (age1 and age2). As soon as thge first
> process is completed, the second one begins. I want to calculate the
> time it takes for the both processes to be completed.
>
> I have the following script which gives me the answer, butI think
> there
> must be a more elegant way of doing the calculations between the
> #####
>
> Any ideas welcom,
>
> Rainer
>
>
> age1 <- 1:20
> p1 <- dnorm(age1,10,2)
>
> age2 <- 10:30
> p2 <- dnorm(age2,15,1)
>
> ######
> age <- matrix(age1, ncol=length(age1), nrow=length(age2),
> byrow=TRUE) + age2
>
> p <- matrix(p1, ncol=length(p1), nrow=length(p2), byrow=TRUE) + p2
> p <- as.numeric(tapply(p, age, sum))
> p <- p / sum(p)
> #####
>
> age <- sort(unique(as.numeric(age)))
>
> plot(age, p)
>
> lines(age1, p1)
> lines(age2, p2)
>
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