In gastonstat/binomial: Functions for Binomial Distribution

knitr::opts_chunk$set(collapse = T, comment = "#>")
library(binomial)

About `"binomial"`

The package "binomial" is a simple package to compute binomial probabilities, binomial distributions, as well as summary measures of a binomial random variable.

Creating a binomial random variable

You can begin by creating a binomial random variable object with the function bin_variable():

binvar1 <- bin_variable(10, 0.3)
binvar1

The output of bin_variable() is an object of class "binvar", which simply contains the parameters: number of trials, and probability of success.

Once you have a "binvar" object, you can get summary measures such as the mean, variance, mode, skewness and kurtosis, via the function summary():

summary(binvar1)

Binomial Probability

To compute binomial probabilities, you should use the function bin_probability. This functions requires three inputs: number of successes, number of trials, and probability of success.

For example, say you want to compute the probability of 3 heads when tossing a fair coin 5 times:

bin_probability(3, 5, 0.5)

If instead of a fair coin you suppose tossing a loaded coin with probability of heads 0.7, then:

bin_probability(3, 5, 0.7)

You can also use bin_probability() to compute the probabilities for a range of successes. For example, the probabilities of less than 3 heads in 5 tosses of a fair coin is: