Casio CLASSWIZ CG Software User's Manual page 233

Distribution: Distribution Calculations
Attention fx-1AU GRAPH Users
• The fx-1AU GRAPH does not have a Distribution category, but all commands described in this section
can be called from C > [All].
Example: To call "NormPD()", select C > [All] > [N] > [NormPD()].
Each function in this section performs a different type of distribution calculation.
Syntax Notes
• The list below shows the meanings of the symbols and abbreviations in the syntax.
x : data value
Lower: lower boundary
Upper: upper boundary
μ ： population mean
σ ： population standard deviation ( σ > 0)
λ ： mean ( λ > 0)
p : probability (0 ≤ p ≤ 1)
df : degrees of freedom (df > 0)
• The following values are substituted whenever any of the arguments enclosed in brackets ([ ]) are omitted.
μ =0, σ =1, tail="L" (Left)
Calculation Result Storage Variables
Variables (p, xInv, x1InvN, x2InvN, zLow, zUp, tLow, tUp) to which the calculation results of each function are
stored can be accessed from C > [Variable Data] > [Distribution].
Normal Probability Density NormPD()
Returns the normal probability density ( p value) for the specified data.
Syntax: NormPD( x [, μ , σ ])
• A single value or a list can be specified for x . Calculation result p is assigned to variables p and Ans (List
Ans when x is a list).
Example: NormPD(1) = 0.2419707245 ; NormPD({0.5,1}) = {0.3520653268,0.2419707245}
Normal Cumulative Dist NormCD(,)
Returns the normal cumulative distribution ( p value) for the specified data.
Syntax: NormCD(Lower,Upper[, μ , σ ])
• Single values or lists can be specified for Lower and Upper. Calculation results p , zLow, and zUp are
assigned respectively to variables p , zLow, and zUp. Calculation result p also is assigned to Ans (List Ans
when Lower and Upper are lists).
Example: NormCD(-1,1) = 0.6826894921 ; NormCD({-1,-2},{1,2}) = {0.6826894921,0.9544997361}
Inverse Normal Cumul Dist InvNormCD()
Returns the inverse normal cumulative distribution (Lower and/or Upper value(s)) for the specified p -value.
Syntax: InvNormCD([tail,] p [, μ , σ ])
• You can specify Left, Right, or Center for "tail". To specify the "tail" setting, input the numbers or letters
below.
Left： -1 or "L"
• A single value or a list can be specified for p . Calculation results are output in accordance with the tail
setting as described below.
tail = Left
tail = Right
tail = Central
Example: InvNormCD("L",0.7,35,2) = 36.04880103
InvNormCD({0.5,0.7},35,2) = {35,36.04880103}
Center： 0 or "C"
The Upper value is assigned to variables x1InvN and Ans (List Ans when p is a list).
The Lower value is assigned to variables x1InvN and Ans (List Ans when p is a list).
The Lower and Upper values are assigned respectively to variables x1InvN and
x2InvN. Lower only is assigned to Ans (List Ans when p is a list).
n :df : degrees of freedom of numerator (positive
integer)
d :df : degrees of freedom of denominator (positive
integer)
P : success probability (0 ≤ P ≤ 1)
n : number of trials from population (0 ≤ n integer)
M : number of successes in population (0 ≤ M integer)
N : population size ( n ≤ N , M ≤ N integer)
Right： 1 or "R"
233