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# NTBINORMDIST

Returns the bivariate normal distribution

## Syntax

NTBINORMDIST(

• X1,
• X2,
• Corr,
• Cumulative

)

#### Parameters

• X1 is the value of 1st. variable for which you want the distribution.
• X2 is the value of 2nd. variable for which you want the distribution.
• Corr is a correlation coefficient between 2 variables $\rho\;(-1\leq \rho \leq 1)$.
• Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, NTBINORMDIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

## Remark

• If $\rho=\pm 1$, the probability density is singular at X1=X2 (returns #VALUE! error).

## Example

• The example may be easier to understand if you copy it to a blank worksheet
How to copy an example
1. Create a blank workbook or worksheet.
2. Select the example in the Help topic.

Note  Do not select the row or column headers.

Selecting an example from Help

3. Press CTRL+C.
4. In the worksheet, select cell A1, and press CTRL+V.
5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.

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A B
Data Description
1.5 Value of 1st. variable for which you want the distribution
-1 Value of 2nd. variable for which you want the distribution
0.5 Correlation coefficient
Formula Description (Result)
=NTBINORMDIST(A2,A3,A4,TRUE) Cumulative distribution function for the terms above
=NTBINORMDIST(A2,A3,A4,FALSE) Probability density function for the terms above