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In Excel, the PHI function is used to calculate the value of the standard normal distribution’s probability density function (PDF) at a given point (x). The function has the syntax:
=PHI(x)
Here, `x` is the value at which you want to evaluate the standard normal distribution PDF.
Steps to use the PHI function in Excel:
- Open Excel: Launch Microsoft Excel on your computer.
- Select a Cell: Click on the cell where you want the result of the PHI function to appear.
- Enter the Formula: Type `=PHI(` in the formula bar or directly in the cell, followed by the value for which you want to evaluate the PDF. For example, to calculate the PDF for x = 1, you would type `=PHI(1)`.
- Press Enter: After entering the formula, press the Enter key. Excel will calculate and display the PDF value of the standard normal distribution at the specified `x`.
Example:
Suppose you want to find the probability density function of the standard normal distribution at x = 0.5. You would enter:
=PHI(0.5)
After pressing Enter, Excel will return the result, which is approximately 0.352065.
Additional Notes:
- The PHI function is available starting from Excel 2013.
- The standard normal distribution used by PHI has a mean of 0 and a standard deviation of 1.
- This function is useful for statistical analysis, particularly in finance and data science, where normal distribution probabilities are required.
By using the PHI function, you can easily incorporate statistical calculations into your Excel sheets.