Property	Value
Hex Value	`$BB0B`
Categories	Catalog > R Math > Probability
Localizations	FR: `BinAléat(`

`randBin(`

Overview

Generates and displays a random real number from a specified Binomial distribution.

Availability: Token available everywhere.

Syntax

randBin(numtrials,prob[,numsimulations])

Arguments

Name	Type	Optional
numtrials
prob
numsimulations		Yes

Location

math, PRB, 7:randBin(

Description

randBin(n,p) generates a pseudorandom integer between 0 and n inclusive according to the binomial distribution B(n,p) - that is, n trials of an event with probability of success p are performed, and the number of successes is returned. randBin(n,p,simulations) performs the above calculation simulations times, and returns a list of the results. The expected (average) result is n*p.

n should be an integer greater than or equal to 1, while p should be a real number between 0 and 1 inclusive.

seed→rand affects the output of randBin(

0→rand
     0
randBin(5,1/2
     2
randBin(5,1/2,10
     {3 3 2 4 3 2 2 2 4 3}

Formulas

The value of randBin( for a given seed can be expressed in terms of rand:

randBin(N,P)=sum(P>rand(N

This is identical to the output of randBin( in the sense that for the same seed, both expressions will generate the same random numbers.

Error Conditions

ERR:DOMAIN is triggered if the probability is not on the interval from 0 to 1.

Source: parts of this page were written by the following TI|BD contributors: DarkerLine, GoVegan, MrTanookiMario, nap386, Timothy Foster, Xeda Elnara.

History

Calculator	OS Version	Description
TI-83	0.01013	Added

Authors: Adrien Bertrand

randBin(