Questions: How many parameters does a X^2-distribution have?

How many parameters does a X^2-distribution have?
Transcript text: How many parameters does a $X^{2}$-distribution have?
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Solution

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Solution Steps

The Chi-squared ($X^{2}$) distribution is a special case of the gamma distribution and is defined by its degrees of freedom, which is its only parameter.

Step 1: Understanding the Chi-squared Distribution

The Chi-squared distribution, denoted as \( X^{2} \), is a continuous probability distribution that arises in statistics, particularly in hypothesis testing and confidence interval estimation. It is characterized by its degrees of freedom, which is the only parameter that defines the distribution.

Step 2: Identifying the Parameter

For the Chi-squared distribution, the degrees of freedom \( k \) is the sole parameter. This means that the distribution can be fully described by this single value. Therefore, the number of parameters for a Chi-squared distribution is \( 1 \).

Final Answer

The number of parameters for a Chi-squared distribution is \\(\boxed{1}\\).

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