Home
Apps
Ask
Manual
Share
Discuss
Support
Home
Apps
Ask
Manual
Support
NormalCDF(
lower, upper, [mu], [sigma]
)
lower
Real number
upper
Real number
[mu]
This optional parameter is a real number with default value 0.
[sigma]
This optional parameter is a real number with default value 1.
Description
Computes the normal cumulative density function over the interval from
lower
to
upper
with mean
mu
and standard deviation
sigma
.
References
http://en.wikipedia.org/wiki/Normal_distribution
Related Functions
NormalPDF
© 2024 Pomegranate Apps
MathStudio
MathStudio Express
Using MathStudio
The Basics
1.
Introduction
2.
Trigonometric Functions
3.
Special Values
4.
Lists
5.
Matrices
6.
Algebra
7.
Calculus
8.
Fourier Analysis
9.
Units
10.
Base Conversions
11.
Regression Analysis
12.
Natural Language
13.
Constants
14.
Dynamic Variables
Operators
1.
Basic Operators
2.
Double Power Operator
3.
Comparison Operators
4.
Logical Operators
5.
Compound Assignment Operators
6.
Type Comparison Operators
7.
Size Operator
8.
Range Operator
9.
Transformation Operator
10.
Index Operator
11.
Union Operator
12.
Intersection Operator
13.
Difference Operator
14.
Double Modulo Operator
15.
Matrix Operator
16.
Matrix Size Operator
17.
Angle Operator
18.
Choose Operator
19.
String Concatenation Operator
20.
Conditional Operator
21.
Append Operator
22.
Element Operator
Graphing
1.
2D Graphing
2.
Plot Styles
3.
Min, Max and Zero Values
4.
3D Graphing
5.
Multiple Plots
6.
Color Names
7.
Time Graphing
Scripting Language
Variables
1.
Creating Variables
2.
Unicode Characters
3.
Variable Functions
4.
Strings
5.
Wildcards
Scripts
1.
Creating Scripts
2.
Semicolons
3.
Comments
4.
Variable Controls
5.
Conditional Statements
6.
For-In Loops
7.
While Loops
8.
Timing
9.
Objects
10.
Working with JSON
Functions
A
abs
(
z
)
AiryAi
(
z
)
AiryBi
(
z
)
AlternatingSeries
(
n, [terms]
)
Angle
(
A, B
)
Animate
(
variable, start, end, [step], [value], [fps]
)
Apart
(
f(x), x
)
Append
(
expression1, expression2
)
Arg
(
z
)
B
BarPlot
(
list1, frequency1, ...
)
Bernoulli
(
n, [z]
)
BesselI
(
v, z
)
BesselJ
(
v, z
)
BesselK
(
v, z
)
BesselY
(
v, z
)
Beta
(
m, n
)
Binomial
(
n, r
)
BinomialCDF
(
n, p, x
)
BinomialPDF
(
n, p, x
)
BodePlot
(
function, variable, minimum, maximum, mode
)
BoxPlot
(
x, [frequency1], [x2], [frequency2], ...
)
Button
(
name, [list], [value]
)
C
Call
(
function, parameter1, parameter2, ...
)
Caps
(
string, index, [mode]
)
Catalan
(
n
)
Ceil
(
z
)
cFrac
(
n, [terms]
)
Char
(
x
)
ChebyshevT
(
n, z
)
ChebyshevU
(
n, z
)
CheckBox
(
variable, [value]
)
Chi
(
z
)
ChiSquareCDF
(
lower, upper, df
)
ChiSquarePDF
(
x, df
)
Cholesky
(
A
)
Choose
(
test1, value1, test2, value2, ...
)
Ci
(
z
)
Clear
(
variable, ...
)
clip
(
x, [min], [max]
)
Coefficient
(
f(x), x, degree
)
coFactor
(
matrix, i, j
)
Command
(
setting
)
Conj
(
z
)
ContourPlot
(
expression, ...
)
Convergents
(
n, [mode=0], [terms]
)
Cross
(
A, B
)
CubicFit
(
[x], y
)
CubicFitModel
(
[x], y
)
CubicFitPlot
(
[x], y
)
Curl
(
vector, [varlist], [mode]
)
CylindricalPlot3D
(
expression, ...
)
D
D
(
f(x), x, [n]
)
Date
(
letter
)
Dawson
(
z
)
Degree
(
expression
)
DEGtoDMS
(
angle, [digits]
)
Delete
(
expression, position, [length]
)
Denominator
(
expression
)
Det
(
A
)
Diff
(
f(x), x
)
DiGamma
(
z
)
DiLog
(
z
)
Dirichlet_Eta
(
z
)
Dirichlet_Lambda
(
z
)
Divergence
(
[varlist], vector, [mode]
)
Divisors
(
n
)
DivisorSigma
(
n
)
Dot
(
A, B
)
DSolve
(
equation, dependent(independent), values, mode=1
)
Duf
(
function, [varlist], [point], [direction]
)
dynamic
(
name, value
)
E
Ei
(
z
)
Eigenvalues
(
A
)
Eigenvectors
(
A
)
Else If
(
condition
)
Erf
(
z
)
Erfc
(
z
)
Error
(
string
)
Euler
(
n, [z]
)
Eulerian
(
n, k
)
Eval
(
function, variable, value
)
Exp
(
z
)
Expand
(
expression
)
ExpConvert
(
expression
)
ExpFit
(
[x], y
)
ExpFitModel
(
[x], y
)
ExpFitPlot
(
[x], y
)
ExponentialFit
(
[x], y
)
ExponentialFitModel
(
[x], y
)
ExponentialFitPlot
(
[x], y
)
Extract
(
expression, position, [length]
)
F
Factor
(
expression
)
Factorial
(
n
)
Fcdf
(
lower, upperbound, numerator, denominator
)
fDiff
(
f(x,y,z,..), (x,y,z,...)
)
Fibonacci
(
n, [z]
)
Finance
(
PV, FV, Pmt, i, n, [mode=0]
)
FindFit
(
function, variable, [x], y
)
FindFitModel
(
function, variable, [x], y
)
FindFitPlot
(
function, variable, [x], y
)
Flatten
(
matrix
)
Floor
(
z
)
FourierCos
(
f(x), x, w
)
FourierExpSeries
(
f(x), x, n
)
FourierSeries
(
f(x), x, [n], [mode]
)
FourierSin
(
f(x), x, w
)
FourierTrigSeries
(
f(x), x, n
)
fPart
(
z
)
Fpdf
(
x, d1, d2
)
FractalPlot
(
expression, ...
)
FresnelCos
(
z
)
FresnelSin
(
z
)
FullRectSineWave
(
x, [T]
)
Function
(
function, parameter1, parameter2, ...
)
G
Gamma
(
z
)
GCD
(
n1, n2
)
GegenbauerC
(
n, a, z
)
GeoCDF
(
p, x
)
GeoPDF
(
p, x
)
Gradient
(
function, [varlist], [mode]
)
Gudermannian
(
z
)
H
HalfRectSineWave
(
x, [T]
)
HankelH1
(
v, z
)
HankelH2
(
v, z
)
Harmonic
(
z
)
Heaviside
(
x
)
HermiteH
(
n, z
)
Hessian
(
function, [varlist], [mode]
)
HRStoHMS
(
hours, [digits]
)
http
(
url, [filter]
)
Hypergeom_2F1
(
a, b, c, z, [mode]
)
I
Identity
(
n
)
iDiff
(
f(x,y,z,..), dependant_variables, independant_variables
)
If
(
condition
)
iLaplace
(
F(s), s
)
Im
(
z
)
ImagePlot
(
data
)
ImaginaryPart
(
expression
)
ImplicitPlot
(
expression, ...
)
Include
(
filename
)
Insert
(
expression, item, position
)
Integrate
(
f(x), x, [a], [b]
)
Inverse
(
A
)
InverseNormal
(
p, [mu], [sigma]
)
invGudermannian
(
z
)
iPart
(
z
)
IsList
(
expression
)
IsMatrix
(
expression
)
IsNumber
(
expression
)
IsPoly
(
expression, variable
)
IsPrime
(
n
)
J
Jacobian
(
function, [varlist], [point]
)
json
(
data, [filter]
)
JuliaPlot
(
expression, ...
)
K
KelvinBei
(
v, z
)
KelvinBer
(
v, z
)
KelvinKei
(
v, z
)
KelvinKer
(
v, z
)
L
LaguerreL
(
n, z
)
LambertW
(
z
)
Laplace
(
f(t), t
)
Laplacian
(
function, [varlist], [mode]
)
LCM
(
n1, n2
)
Left
(
expression
)
LegendreP
(
n, z
)
LegendreQ
(
n, z
)
Length
(
expression
)
Li
(
x
)
Limit
(
function, variable, point, [direction]
)
LinearFit
(
[x], y
)
LinearFitModel
(
[x], y
)
LinearFitPlot
(
[x], y
)
List
(
length
)
ListMap
(
list, name, [value]
)
ListPlot
(
x, [y], [x2], [y2]
)
ListPlot3D
(
x, y, z, [x2], [y2], [z2], ...
)
Ln
(
z
)
LnFit
(
[x], y
)
LnFitModel
(
[x], y
)
LnFitPlot
(
[x], y
)
LnGamma
(
z
)
local
(
name, value
)
Log
(
[n], z
)
LogisticFit
(
[x], y
)
LogisticFitModel
(
[x], y
)
LogisticFitPlot
(
[x], y
)
Lucas
(
n, [z]
)
M
Matrix
(
rows, [columns]
)
MatrixLU
(
matrix, [mode]
)
MatrixMap
(
matrix, name, [value]
)
MatrixQR
(
A
)
MatrixSVD
(
A
)
Max
(
number, ...
)
Mean
(
list
)
MedianFit
(
[x], y
)
MedianFitModel
(
[x], y
)
MedianFitPlot
(
[x], y
)
Message
(
string
)
Min
(
list
)
Mod
(
m, n
)
Multinomial
(
nList
)
MultiPlot
(
plot1, plot2, ...
)
MultiPlot3D
(
expression, ...
)
N
nCr
(
n, r
)
NIntegrate
(
f(x), x, a, b
)
Norm
(
z
)
NormalCDF
(
lower, upper, [mu], [sigma]
)
NormalPDF
(
x, mu, sigma
)
nPr
(
n, r
)
nPrimes
(
n
)
nRoot
(
z, n, [mode]
)
P
ParametricPlot
(
expression, ...
)
ParametricPlot3D
(
expression, ...
)
Part
(
expression, n
)
pDiff
(
f(x,y,z,..), dependent_variables, dependent_equations, independent_variables
)
Pi_Digits
(
n
)
Plot
(
expression, ...
)
Plot3D
(
expression, ...
)
Pochhammer
(
n, k
)
PoissonCDF
(
mu, x
)
PoissonPDF
(
mu, x
)
PolarPlot
(
expression, ...
)
PolyDivide
(
f(z), g(z)
)
PolyFit
(
pList, var
)
PolyGamma
(
n, z
)
PolyGCD
(
polynomial1, polynomial2
)
PolyLCM
(
polynomial1, polynomial2, [mode=1]
)
PolyLog
(
n, z
)
PowerExpand
(
expression
)
PowerFit
(
[x], y
)
PowerFitModel
(
[x], y
)
PowerFitPlot
(
[x], y
)
Prime
(
n
)
Primorial
(
n
)
Product
(
f(n), n, start, end
)
Psi
(
z
)
Q
QuadraticFit
(
[x], y
)
QuadraticFitModel
(
[x], y
)
QuadraticFitPlot
(
[x], y
)
QuarticFit
(
[x], y
)
QuarticFitModel
(
[x], y
)
QuarticFitPlot
(
[x], y
)
Quotient
(
f(x), g(x)
)
R
Random
(
min, max, [size1], [size2]
)
Re
(
z
)
RealPart
(
expression
)
Remainder
(
f(x), g(x)
)
Replace
(
expression, old, new
)
Reshape
(
matrix
)
Return
(
expression
)
Reverse
(
list
)
Right
(
expression
)
RK4
(
function, t, y, a, b, y0, N=10
)
RK45
(
function, t, y, a, b, y0, Tol=10E-5, hmax=0.25, hmin=10E-6, N=20
)
Round
(
number, digits
)
RowReduce
(
A
)
S
SawToothWave
(
x, [T]
)
Sequence
(
f(x), x, start, end, [step], [start term], [number of terms]
)
Series
(
f(z), z, n
)
Shi
(
z
)
Si
(
z
)
Sign
(
z
)
SimplifyFunction
(
expression
)
SimplifyPoly
(
f(x)/g(x), [variable]
)
sin
(
z
)
SinFit
(
[x], y
)
SinFitModel
(
[x], y
)
SinFitPlot
(
[x], y
)
Size
(
list
)
Slider
(
variable, start, end, [step], [initial value]
)
Solve
(
f(x), x, [guess]
)
SolveSystem
(
equations, [variables], [guesses]
)
Sort
(
list
)
SphericalPlot3D
(
expression, ...
)
Sqrt
(
z
)
SquareWave
(
x, [T]
)
StaircaseWave
(
x, [T]
)
StandardDeviation
(
list
)
String
(
expression1, expression2, ...
)
StudentTCDF
(
x, df
)
StudentTPDF
(
x, df
)
Sum
(
f(n), n, start, end
)
SurfaceNormal
(
function, [varlist], [point]
)
T
Together
(
expression
)
Trace
(
variable
)
Transpose
(
A
)
TriangleWave
(
x, [T]
)
TrigConvert
(
expression
)
TrigExpand
(
expression
)
TrigReduce
(
expression
)
V
Variables
(
expression
)
Variance
(
list
)
VectorPlot
(
list, ...
)
VectorPlot3D
(
list, ...
)
W
While
(
condition
)
Z
Zeta
(
z, [a]
)
Computing
