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CASIO

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Distribution Calculations (DIST)

You can use the procedures below to perform seven different types of distribution calculations.


1. Press (DIST) to enter the DIST Mode.

2. On the menu that appears, select a distribution calculation type.

To select this type of calculation: Press this key:
Normal probability density (Normal PD)
Normal cumulative distribution (Normal CD)
Inverse normal cumulative distribution (Inverse Normal)
Binomial probability (Binomial PD)
Binomial cumulative distribution (Binomial CD)
Poisson probability (Poisson PD)
Poisson cumulative distribution (Poisson CD)

3. Input values for the variables.

With Binomial PD, Binomial CD, Poisson PD, and Poisson CD, you can input sample data and then perform calculations.

4. After inputting values for all of the variables, press .

This displays the calculation results.

Pressing or while a calculation result is displayed will return to the input screen of the first variable.


Note

To change the distribution calculation type after you enter the DIST Mode, press (STAT/DIST)(Type) and then select the distribution type you want.

Distribution calculation accuracy is up to five significant digits.


Variables that Accept Input

The following are distribution calculation variables that accept input values.

Normal PD ........................... x, σ, μ
Normal CD ........................... Lower, Upper, σ, μ
Inverse Normal .................... Area, σ, μ (Tail setting always left.)
Binomial PD, Binomial CD ... x (or List), N, p
Poisson PD, Poisson CD ..... x (or List), μ

x: data
σ: standard deviation (σ < 0)
μ: mean
Lower: lower boundary
Upper: upper boundary
Tail: probability value tail specification
Area: probability value (0 ≦ Area ≦ 1)
List: sample data list
N: number of trials
p: success probability (0 ≦ p ≦ 1)


List Screen (Binomial PD, Binomial CD, Poisson PD, Poisson CD)

With Binomial PD, Binomial CD, Poisson PD, and Poisson CD, use the List Screen for sample data input. You can input up to 25 data samples for each variable. Calculation results are also displayed on the List Screen.

(1) Distribution calculation type
(2) Value at current cursor position
(3) X: Sample data
(4) Ans: Calculation results

To edit sample data:

Move the cursor to the cell that contains the data you want to edit, input the new data, and then press .

To delete data:

Move the cursor to the sample data you want to delete and then press .

To insert sample data:

Move the cursor to the position where you want to insert the sample data, press (STAT/DIST)(Edit)(Ins), and then input the sample data.

To delete all sample data:

Press (STAT/DIST)(Edit)(Del-A).

DIST Mode Calculation Examples

Example 1: To calculate the normal probability density when x = 36, σ = 2, μ = 35

  • (DIST)
  • (Normal PD)
  • 36
  • 2
  • 35

Result: 0.1760326634

Pressing or returns to the x input screen.


Example 2: To calculate binomial probability for the sample data {10, 11, 12, 13, 14} when N = 15 and p = 0.6

  • (DIST)(Binomial PD)
  • Display the List Screen: (List)

To specify data using parameter format, press (Var).

  • 1011121314
  • 15
  • 06

Results: x = binomial probability of 10 ≒ 0.18594
x = binomial probability of 11 ≒ 0.12678
x = binomial probability of 12 ≒ 0.063388
x = binomial probability of 13 ≒ 0.021942
x = binomial probability of 14 ≒ 4.7018 × 10-3


Pressing returns to the N input screen. Pressing returns to the List Screen (input data samples are stored).


Note

The following cannot be used in the distribution calculations: Pol, Rec, ÷R, ∫, d/dx.

When data is specified using parameter format, calculation results are stored in Ans memory.

An error message appears if the input value is outside the allowable range. "ERROR" will appear in the Ans column of the List Screen when the value input for the corresponding sample data is outside the allowable range.

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