In jacobyeung/Binomial_Package: Binomial Function Package

knitr::opts_chunk$set(collapse = T, comment = "#>")
library(binomial)
library(ggplot2)

Binomial Distribution

The package "binomial" is a method to calculate the various attributes of a binomial distribution given parameters.

Using the math Choose function

To calculate the number of comibnations in which k successes can occur in n trials, we use the bin_choose() function:

bin_choose(n = 5, k = 2)

Creating a Binomial Random Variable

To create a binomial random variable with k trials and probability prob, we use the function bin_variable():

variable = bin_variable(trials = 5, prob = 0.5)

Calculating the Binomial Probability

To calculate the probability of k successes, each independent with probability prob, on n repeated trials, we use the bin_probability() function:

bin_probability(success = 2, trials = 5, prob = 0.5)

Calculating the Binomial Distribution

To calculate the binomial distribution of k trials and probability prob, we use the bin_distribution() function:

distribution = bin_distribution(trials = 5, prob = 0.5)
distribution

Displaying the Binomial Distribution

To plot the above calculated binomial distribution, we use the function plot.bindis():

plot.bindis(distribution)

Finding the Cumulative Distribution of a Binomial Random Variable

To find the cumulative distribution of k trials and probability prob, we use the function bin_cumulative():

cumulative_distribution = bin_cumulative(trials = 5, prob = 0.5)
cumulative_distribution

Displaying the Cumulative Distribution

To plot the above calculated cumulative distribution, we use the function plot.bincum():

plot.bincum(cumulative_distribution)

Creating the Summary of a Binomial Variable

To create the summary of a binomial variable, we use the function summary.binvar():

summary.binvar(variable)

Displaing the Summary of a Binomial Variable

To displat the summary of a binomial variable, we use the function print.summary.binvar():

print.summary.binvar(variable)

jacobyeung/Binomial_Package documentation built on Nov. 4, 2019, 2:15 p.m.