Solution 11921: Calculating Hypergeometric Probability Distributions on the TI-83 Plus and TI-84 Plus.
How do I calculate a hypergeometric probability distribution on the TI-83 Plus and TI-84 Plus?
There is no pre-defined function in the calculator that will find the
statistical values for a hypergeometric probability distribution. However, users
can enter the formula to find the results for this type of distribution into the
calculator. The instructions below describe how to find P(1) of a
hypergeometric probability distribution.
Example: Find P(1) when
N = 12, n = 4, and k = 3
Since P(x) = {C(k, x) × C(N-k, n-x)} ÷
C(N, n)
With substitution, P(1) = {C(3, 1) × C(12-3, 4-1)} ÷ C(12,
4)
So the values should be entered using the following steps:
• Input
[(] [(] [3]
• Press [MATH], then press the right arrow key 3 times to select
the PRB menu
• Press [3] to select 3:nCr
• Input [1] [)] [(] [9]
• Press [MATH], then press the right arrow key 3
times to select the PRB menu
• Press [3] to select
3:nCr
• Input [3] [)] [)] [÷] [1] [2]
• Press [MATH],
then press the right arrow key 3 times to select the PRB
menu
• Press [3] to select 3:nCr
• Input [4], then press
[ENTER]
The answer of .5090909091 should be displayed.
Please see the TI-83 Plus and TI-84 Plus guidebooks for additional information.