Calculating a hypergeometric problem on my calculator?
I am trying to calculate a hypergeometric problem using my TI-84 calculator. I would prefer not to use the method outlined in this link: http://www.stat.luc.edu/StatisticsForTheSciences/P… as I find it more complicated than the method I used previously. Unfortunately, I can't seem to locate the method I used before. Can anyone help me find a simpler approach for this calculation?
2 Answers
Jan 15, 2025
geometpdf( and geometcdf( will give you probabilities based on a geometric distribution, not a hypergeometric distribution. In fact, the calculator has no built-in command for hypergeometric distributions.
You’ll just simply have to use [Math] > Prb > 3:nCr to manually plug into the hypergeometric formula. (Or alternatively, create a program which does this for you, but you’ve already stated you don’t want to do that.)
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.
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