Buffon: Buffon
In ExpRep: Experiment Repetitions

Description Usage Arguments Value Note Author(s) References Examples

Simulations of the experiment of Buffon.

1	Buffon(p = 0.5, width = 0.2, r = c(100, 500, 1000, 1500))

`p`	Probability of occurrence of some event.
`width`	Width of the band where the probabilities are represented.
`r`	Array of four values, representing the numbers of repetitions of the experiment that will be carried out.

Four graphics, each one is the simulation of the experiment of Buffon for the number of repetitions contained in the array r.

Department of Mathematics. University of Oriente. Cuba.

Larisa Zamora and Jorge Diaz

Gnedenko, B. V. (1978). The Theory of Probability. Mir Publishers. Moscow.

Buffon(p = 0.5, width = 0.2, r = c(100, 500, 1000, 1500))

## The function is currently defined as
function (p = 0.5, width = 0.2, r = c(100, 500, 1000, 1500)) 
{
    Position <- function(k, colum) {
        PE <- k%/%colum
        Resto <- k%%colum
        if (Resto == 0) {
            fila <- PE
            columna <- colum
        }
        else {
            fila <- PE + 1
            columna <- Resto
        }
        Position <- list(fila, columna)
        return(Position)
    }
    nf <- layout(matrix(c(1, 2, 3, 4), 2, 2, byrow = TRUE), TRUE)
    k <- 0
    la <- p - width
    lb <- p + width
    if (la < 0) 
        la <- 0
    if (lb > 1) 
        lb <- 1
    for (j in 1:4) {
        k <- k + 1
        Probcara <- array(0, dim = r[j])
        for (i in 1:r[j]) {
            binomial <- rbinom(i, 1, p)
            cara <- length(binomial[binomial == 1])
            Probcara[i] <- cara/i
        }
        P <- Position(k, 2)
        fila <- P[[1]]
        colum <- P[[2]]
        mfg <- c(fila, colum, 2, 2)
        a <- as.character(r[j])
        plot(Probcara, type = "p", main = paste0("n=", a), xlab = "Repetitions", 
            ylab = "Probability", font.main = 3, col = "blue", 
            ylim = c(la, lb))
        abline(h = p, col = "red", lty = 1, lwd = 2)
    }
  }