Binomial Distributions

You can compute the binomial probability function using its formula,

p <- 0.3 n <- 10 k <- 4 choose(n, k) * p^k * (1-p)^(n-k)

You can also use the dbinom function:

dbinom(4, size = 10, prob = 0.3)

A plot of the probability function of a binomial distribution can be obtained by

plot(0:10, dbinom(0:10, size = 10, prob = 0.3), type = "h")

Two distributions with different success probabilities can be compared with

plot(0:10, dbinom(0:10, size = 10, prob = .3),type="h",col="green") lines((0:10)+.05, dbinom(0:10, size = 10, prob = .4),type="h",col="red")