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GAMMAINV

The GAMMAINV function in Google Sheets is used to find the inverse of the gamma cumulative distribution. It allows you to determine the value at which a given cumulative distribution occurs. Explore the comprehensive guide below to understand how to effectively apply this function.

Function Syntax and Parameters

Syntax: GAMMAINV(probability, alpha, beta)

Parameters:

  • probability: The probability associated with the gamma distribution.
  • alpha: The shape parameter of the gamma distribution.
  • beta: The scale parameter of the gamma distribution.

Step-by-Step Tutorial

  1. Using GAMMAINV with specific inputs:

    • Example: =GAMMAINV(0.5, 2, 3)
    • Result: The result is the value 4.633213.
  2. Using GAMMAINV with cell references:

    • Example: If cell A1 contains the probability 0.25, cell A2 contains the alpha value 3, and cell A3 contains the beta value 2, then =GAMMAINV(A1, A2, A3) will return the corresponding value based on the given inputs.

Use Cases and Scenarios

  1. Risk Analysis: Determine the value at which a specific level of risk occurs.
  2. Quality Control: Identify the time at which a certain proportion of defects is expected.
  3. Reliability Engineering: Calculate the time at which a certain percentage of failures is projected.

Related Functions

  • GAMMA.DIST: Calculate the gamma probability density function.
  • GAMMALN: Compute the natural logarithm of the absolute value of the gamma function.

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