Probability And Mathematical Statistics Theory Applications And Practice In R Info

par(mfrow=c(1,2)) hist(population, main="Original Population (Exponential)", col="lightblue") hist(sample_means, main="Distribution of Sample Means", col="salmon", probability=TRUE)

monte_carlo_pi <- function(n) x <- runif(n, 0, 1) y <- runif(n, 0, 1) inside <- (x^2 + y^2) <= 1 pi_estimate <- 4 * mean(inside) return(pi_estimate) main="Original Population (Exponential)"