Bayesian Statistics

Binomial and Multinomial

Binomial distribution

Define

the number of successes in a sequence of independent yes/no experiments (Bernoulli trials)

Example

toss a coin

library(plotrix)
par(mar = rep(1, 4))
for (i in seq(0, 4, length = 30)) {
    plot(c(-10,10), c(-10,10), type="n", main="flip coin")
    draw.ellipse(x= c(0), y= c(0), c(4), c(i), border = 'black', lwd = 2)
}

for (i in seq(4, 0, length = 30)) {
    plot(c(-10,10), c(-10,10), type="n", main="flip coin")
    draw.ellipse(x= c(0), y= c(0), c(4), c(i), border = 'black', lwd = 2)
}