(12C) Binomial Distribution
08-25-2018, 10:29 AM (This post was last modified: 08-25-2018 10:36 AM by Gamo.)
Post: #1
 Gamo Senior Member Posts: 700 Joined: Dec 2016
(12C) Binomial Distribution
This program calculate Binomial Distribution using three known variables.

Binomial Distribution formula:

f(x) = (nCx)(p^x)(1-p)^n-x

where n and x are integers,

nCx = n! / x!(n-x)! // n choose x Combination

0 ≤ x ≤ n ≤ 69 and 0 < p < 1

n = number of times experiment run
x = number we want
p = probability of one specific run

Procedure:

n [ENTER] x [ENTER] p [R/S]

Example: FIX 9

Sam says
"70% choose chicken, so 7 of the next 10 customers should choose chicken"
What are the chances Sam is right?

n = 10 // Total of 10 customers
x = 7 // 7 out of 10
P = 0.7 // 70% choose chicken

10 [ENTER] 7 [ENTER] .7 [R/S] display 0.266827932

Answer: about 27% chance

Program: Binomial Distribution
Code:
 01 STO 1 02 Rv 03 STO 2 04 Rv 05 STO 3 06 RCL 1 07 RCL 2 08 Y^X 09   1 10 RCL 1 11   - 12 RCL 3 13 RCL 2 14   - 15 Y^X 16 LSTx 17  n! 18  ÷ 19  x 20 RCL 3 21  n! 22  x 23 RCL 2 24  n! 25  ÷

Gamo
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