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Distributions

Inverse Normal Cumulative Distribution

Menu: [Distribution]-[Inverse Normal CD]

Description: This command calculates the cumulative probability in a normal distribution based on lower and upper bounds.

Tail:Left

Tail:Right

Tail:Center

Upper bound of

Lower bound of

Lower and Upper bounds of

integration

integration

integration

α = ?

α = ?

α = ? β = ? However, μ = α + β

 

 

2

Specify a probability and then use the above formulas to obtain the applicable integration interval.

Definition of Terms

Tail setting: probability value tail specifi cation (L (Left), R (Right), C (Center))

Area : probability value (0 < Area < 1)

σ: population standard deviation (σ > 0)

μ : population mean

Calculation Result Output

inverse cumulative normal distribution x1InvN: Upper bound when Tail:Left

Lower bound when Tail:Right or Tail:Center x2InvN: Upper bound when Tail:Center

Example

Tail : Left

Probability : 0.7

Population standard deviation : 2

Population mean : 35

•Statistics Wizard Operation

(1)On the menu bar, tap [Calc] and then [Distribution].

(2)Select [Inverse Normal CD] and then tap [Next >>].

(3)Select Tail setting [Left] and input values.

(4)Tap [Next >>].

(5)To display the graph, tap $.

uProgram, eActivity or Main Application

Command: InvNormCD￿ or InvNorm￿

Command Syntax

“Tail setting”, Area value, σ value, μ value

Input Example:

InvNorm “L”,0.7,2,35

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