04-01-2019, 12:15 AM
Normal Distribution
The following solver approximates the area of a normal distribution. The following equation uses L (Let) and G (Get), so this can be used for the classic HP 17BII and the silver HP 17BII+.
Instructions:
For x ≥ 0, enter x in ( X ) and then press (CDF) to solve.
For x < 0, enter abs(x) in ( X ), press (CDF) to solve, negate the result and add 1.
The area will be calculated from 0 (the center) to x.
Example 1: x = 2.5
2.5 (X), (CDF): Result: 0.99
Example 2: x = 1
1 (X), (CDF): Result: 0.84
Example 3: x = -1.5
(Algebric Mode)
1.5 (X), (CDF) [+/-] [ + ] 1 [ = ]: Result: 0.07
Source:
"Handbook of Mathematical, Scientific, and Engineering Formulas, Tables, Functions, Graphics, Transforms" Research & Education Association. 1984 ISBN 0-87891-521-4
Blog Entry: https://edspi31415.blogspot.com/2019/03/...andom.html
The following solver approximates the area of a normal distribution. The following equation uses L (Let) and G (Get), so this can be used for the classic HP 17BII and the silver HP 17BII+.
Code:
NORM: CDF=1-EXP(-X^2÷2)÷SQRT(2*PI)*(.4361836*
L(T:INV(1+.33267*X))-.1201676*G(T)^2+.9372980*G(T)^3)
Instructions:
For x ≥ 0, enter x in ( X ) and then press (CDF) to solve.
For x < 0, enter abs(x) in ( X ), press (CDF) to solve, negate the result and add 1.
The area will be calculated from 0 (the center) to x.
Example 1: x = 2.5
2.5 (X), (CDF): Result: 0.99
Example 2: x = 1
1 (X), (CDF): Result: 0.84
Example 3: x = -1.5
(Algebric Mode)
1.5 (X), (CDF) [+/-] [ + ] 1 [ = ]: Result: 0.07
Source:
"Handbook of Mathematical, Scientific, and Engineering Formulas, Tables, Functions, Graphics, Transforms" Research & Education Association. 1984 ISBN 0-87891-521-4
Blog Entry: https://edspi31415.blogspot.com/2019/03/...andom.html