TI-BASIC:Randbin
Command Summary
Generates a random number with the binomial distribution.
Command Syntax
randBin(n,p,# simulations)
Menu Location
Press:
- MATH to access the Math menu.
- LEFT to access the PRB submenu.
- 7 to select randBin(, or use arrows.
TI-83/84/+/SE
2 bytes
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.
