Distributions - Casio fx-CP400 User Manual

Distributions

There is a variety of different types of distribution, but the most well-known is "normal distribution", which is
essential for performing statistical calculations. Normal distribution is a symmetrical distribution centered on the
greatest occurrences of mean data (highest frequency), with the frequency decreasing as you move away from
the center. Poisson distribution, geometric distribution, and various other distribution shapes are also used,
depending on the data type.
Tip:
Though list data can be used within the argument of a Distribution function (page 82), list data cannot be used in the
argument of the Statistics Wizard operations described here.
The following describes the ClassPad commands for executing each type of distribution calculation. It includes
the calculation formula used and a general overview of each command.
Normal Probability Density .... [Distribution] - [Normal PD]
Calculates the normal probability density for a specified value.
Specifying σ = 1 and
0709 To calculate normal probability density for the data below and graph the result
Data: 37.5
Normal Cumulative Distribution .... [Distribution] - [Normal CD]
Calculates the cumulative probability of a normal distribution between a
lower bound ( ) and an upper bound ( ).
0710 To calculate normal cumulative distribution for the data below and graph the result
Lower bound: −∞
Population standard deviation: 2
Inverse Normal Cumulative Distribution .... [Inv. Distribution] - [Inverse Normal CD]
Calculates the boundary value(s) of a normal cumulative probability distribution for specified values.
Tail: Left
Upper bound
0711 To calculate inverse normal cumulative distribution for the data below and graph the result
Tail: Left
Population mean: 35
t
Student's Probability Density .... [Distribution] - [Student's PD]
Calculates the Student's probability density for a specified value.
t
Student's Cumulative Distribution .... [Distribution] - [Student's CD]
Calculates the cumulative probability of a Student's distribution
between a lower bound ( ) and an upper bound ( ).
= 0 produces standard normal distribution.
Population standard deviation: 2
Upper bound: 36
Population mean: 35
Tail: Right
is returned. Lower bound
Probability: 0.7
Population standard deviation: 2
Population mean: 35
Tail: Center
is returned. Lower bound
are returned.
Chapter 7: Statistics Application
μ
(x – μ) 2
1
( ) =
σ 2
2
π σ
2
+
2
and upper bound
+ 1
Γ
1+
2
×
( ) =
Γ
2
+ 1
Γ
2
=
1+
π
Γ
2
( σ > 0)
dx
+1
–
2
2
π
+1
–
2
2
145